

Bibliography for
the Laplace
Transform
unabridged
- Numerical inversion of the Laplace transform via fractional
moments
Tagliani A.; Velasquez Y.
Applied Mathematics and Computation, 20 October 2003, vol. 143,
no. 1, pp. 99-107(9), Ingenta.
- Orthogonal polynomials, random matrices and the numerical
inversion of the Laplace transform of positive functions
Barone P.
Journal of Computational and Applied Mathematics, 15 June 2003,
vol. 155, no. 2, pp. 307-330(24), Ingenta.
- An analytical solution for two-dimensional inverse heat
conduction problems using Laplace transform
Monde M.; Arima H.; Liu W.; Mitutake Y.; Hammad J.A.
International Journal of Heat and Mass Transfer, June 2003, vol.
46, no. 12, pp. 2135-2148(14), Ingenta.
- A Laplace transform-based fundamental collocation method for
two-dimensional transient heat flow
Mahajerin E.; Burgess G.
Applied Thermal Engineering, January 2003, vol. 23, no. 1, pp.
101-111(11), Ingenta.
- Transient Analysis of Rewarded Continuous Time Markov Models
by Regenerative Randomization with Laplace Transform Inversion
Carrasco J.A.
The Computer Journal, January 2003, vol. 46, no. 1, pp. 84-99(16),
Ingenta.
- Asymptotics of Fourier and Laplace transforms in weighted
spaces of analytic functions.
Matsaev, V.; Sodin, M.
Algebra i Analiz 14 (2002), no.
4, 107--140, MathSciNet.
- Impulsive displacement of a quasi-linear viscoelastic material
through accurate numerical inversion of the Laplace transform.
De Chant, L. J.
Comput. Math. Appl. 43 (2002), no. 8-9, 1161--1170,
MathSciNet.
- Goodness-of-Fit Tests for the Inverse Gaussian Distribution
Based on the Empirical Laplace Transform
Henze N.; Klar B.
Annals of the Institute of Statistical Mathematics, 2002, vol. 54,
no. 2, pp. 425-444(20), Ingenta.
- Establishing geometric drift via the Laplace transform of
symmetric measures
Hansen N.R.; Hansen E.
Statistics and Probability Letters, 1 December 2002, vol. 60, no.
3, pp. 289-295(7), Ingenta.
- Short- and long-time solutions for material balance equation
in lithium-ion batteries by Laplace transform
Hashim Ali S.A.; Hussin A.; Arof A.K.
Journal of Power Sources, 14 November 2002, vol. 112, no. 2, pp.
435-442(8), Ingenta.
- A novel impedance spectrometer based on carrier function
Laplace-transform of the response to arbitrary excitation
Barsoukov E.; Ryu S.H.; Lee H.
Journal of Electroanalytical Chemistry, 15 November 2002, vol.
536, no. 1, pp. 109-122(14), Ingenta.
- The inverse laplace transform of some analytic functions with
an application to the eternal solutions of the Boltzmann
equation
Bobylev A.V.; Cercignani C.
Applied Mathematics Letters, October 2002, vol. 15, no. 7, pp.
807-813(7), Ingenta.
- Refined Formulas for Determination of the Inverse Laplace
Transform Using Fourier Series and their Use in Problems of Heat
Conduction
Maksimovich V.N.; Solyar T.Y.
Journal of Engineering Physics and Thermophysics, May 2002, vol.
75, no. 3, pp. 648-650(3), Ingenta.
- Regularization of a Fourier series method for the Laplace
transform inversion with real data
D'Amore L.; Murli A.
Inverse Problems, 2002, vol. 18, no. 4, pp. 1185-1205(21),
Ingenta.
- Transient heat conduction in homogeneous and non-homogeneous
materials by the Laplace transform Galerkin boundary element
method
Sutradhar A.; Paulino G.H.; Gray L.J.
Engineering Analysis with Boundary Elements, February 2002, vol.
26, no. 2, pp. 119-132(14), Ingenta.
- Electromagnetic transients in underground transmission systems
through the numerical Laplace transform
Uribe F.A.; Naredo J.L.; Moreno P.; Guardado L.
International Journal of Electrical Power and Energy Systems,
March 2002, vol. 24, no. 3, pp. 215-221(7),
Ingenta.
- Inverse Laplace transforms of a class of non-rational
fractional functions.
Chandran, Pallath
Internat. J. Math. Ed. Sci. Tech. 32 (2001), no. 1, 136--140,
MathSciNet.
- Laplace Transform of Temperate Holomorphic Functions
Berni O.
Compositio Mathematica, November 2001, vol. 129, no. 2, pp.
183-201(19), Ingenta.
- On the numerical inversion of the Laplace transform for
nuclear magnetic resonance relaxometry
Barone P.; Ramponi A.; Sebastiani G.
Inverse Problems, 2001, vol. 17, no. 1, pp. 77-94(18),
Ingenta.
- Classroom Note: Fourier Method for Laplace Transform
Inversion
Iqbal M.
Journal of Applied Mathematics and Decision Sciences, 1 September
2001, vol. 5, no. 3, pp. 193-200(8), Ingenta.
- Numerical inversion of Laplace transform on the real line of
probability density functions
Tagliani A.
Applied Mathematics and Computation, 15 October 2001, vol. 123,
no. 3, pp. 285-299(15), Ingenta.
- Algebraic numerical inversion of Laplace transform.
(Chinese)
Dai, Yu
J. Numer. Methods Comput. Appl. 22 (2001), no. 4, 281--285,
MathSciNet.
- Laplace transform inversions using optimal contours in the
complex plane.
Evans, G. A.; Chung, K. C.
Int. J. Comput.
Math. 73 (2000), no. 4, 531--543,
MathSciNet.
- Modelling stochastic lead times in a production-inventory
system based on the Laplace transform method
Tang O.
International Journal of Production Research, 20 November 2000,
vol. 38, no. 17, pp. 4217-4226(10), Ingenta.
- Introducing capacity limitations into multi-level, multi-stage
production-inventory systems applying the input-output/Laplace
transform approach
Grubbström R. W.; Wang Z.
International Journal of Production Research, 20 November 2000,
vol. 38, no. 17, pp. 4227-4234(8), Ingenta.
- Determining the cutoff frequencies of weakly guiding optical
fibres by the Laplace transform
Cea P.; Paiano G.
Optical and Quantum Electronics, January 2000, vol. 32, no. 1, pp.
77-95(19), Ingenta.
- Numerical Inversion of the Laplace Transform from the Real
Axis
Airapetyan R.G.; Ramm A.G.
Journal of Mathematical Analysis and Applications, August 2000,
vol. 248, no. 2, pp. 572-587(16), Ingenta.
- Uniform asymptotic expansions of an inverse-Laplace-transform
integral with applications to problems of wave propagation
Dai H-H.; Wong R.; Rui B.
Quarterly Journal of Mechanics and Applied Mathematics, September
1999, vol. 52, no. 3, pp. 327-348(22), Ingenta.
- The accuracy of numerical inversion of the Laplace transform
applied to the time-dependent reflection function from a
semi-infinite atmosphere. Sixth International Workshop of the
Bellman Continuum (Hachioji, 1994).
Matsumoto, M
Computers and Mathematics with Applications, June 1999, vol. 37,
no. 11, pp. 113-122(10), MathSciNet.
- A method for the numerical inversion of Laplace transforms.
(Chinese)
Shan, Hua Ning
J. Numer. Methods Comput. Appl. 20 (1999), no. 3, 231--236,
MathSciNet.
- Improvement of accuracy in numerical methods for inverting
Laplace transforms based on the Post-Widder formula.
Frolov, G. A.; Kitaev, M. Y.
Comput. Math. Appl. 36 (1998), no. 5, 23--34,
MathSciNet.
- A problem of numerical inversion of implicitly defined Laplace
transforms.
Frolov, G. A.; Kitaev, M. Y.
Comput. Math. Appl. 36 (1998), no. 5, 35--44,
MathSciNet.
- Inverse two-sided Laplace transform for probability density
functions
Tagliani A.
Journal of Computational and Applied Mathematics, 17 April 1998,
vol. 90, no. 2, pp. 157-170(14), Ingenta.
- An Extension of the Characterization of Oscillations to
Arbitrary Functional Differential Equations Via the Laplace
Transform
Grammatikopoulos M.K.; Lakshmikantham D.V.P.
Journal of Mathematical Analysis and Applications, July 1998, vol.
223, no. 2, pp. 418-428(11), Ingenta.
- Studies in Bessel functions via Laplace transforms.
Chorlton, Frank
Internat. J. Math. Ed. Sci. Tech. 29 (1998), no. 3, 437--443,
MathSciNet.
- Integral
Transforms with Exponential Kernels and Laplace
Transform
Masaki Kashiwara; Pierre Schapira
Journal of the American Mathematical Society, Vol. 10, No. 4.
(Oct., 1997), pp. 939-972, Jstor.
- Laplace transform evaluations by Ramanujan's integral
formula.
Haldar, K.; Datta, B. K.
Internat. J. Math. Ed. Sci. Tech. 28 (1997), no. 1, 123--128,
MathSciNet.
- A theorem on the Laplace transform and its applications.
Yürekli, Osman; Graziadio, Christine
Internat. J. Math. Ed. Sci. Tech. 28 (1997), no. 4, 616--621,
MathSciNet.
- Integral Representations of the Laplace Transform and Moments
of the Bessel Function with Respect to the Order
Fényes T.
Periodica Mathematica Hungarica, October 1997, vol. 35, no. 1/2,
pp. 1-8(8), Ingenta.
- Laplace Transform and New Mathematical Theory of
Viscoelasticity
Brilla J.
Meccanica, June 1997, vol. 32, no. 3, pp. 182-195(14),
Ingenta.
- A Laplace transform solution for tracer tests in a radially
convergent flow field with upstream dispersion
Jui-Sheng C.; Chen-Wuing L.; Chia-Shyun C.; Hun-Der Y.
Journal of Hydrology, September 1996, vol. 183, no. 3, pp.
263-275(13), Ingenta.
- An
Iterative Method for the Numerical Inversion of Laplace
Transforms
Cristina Cunha; Fermin Viloche
Mathematics of Computation, Vol. 64, No. 211. (Jul., 1995), pp.
1193-1198, Jstor.
- On comparison of spline regularization with exponential
sampling method for Laplace transform inversion.
Iqbal, M.
Comput. Phys. Comm. 88 (1995), no. 1, 43--50,
MathSciNet.
- A technique for increasing the accuracy of the FFT-based
method of numerical inversion of Laplace transforms.
Hwang, Chyi; Wu, Rong Yuang; Lu, Ming Jeng
Comput. Math. Appl. 27 (1994), no. 7, 23--29,
MathSciNet.
- The
Laplace Transform and Spectral Representations of Polynomial
Operator Pencils
A. A. Inayat-Hussain; C. Zorzan
Proceedings: Mathematical and Physical Sciences, Vol. 443, No.
1918. (Nov. 8, 1993), pp. 333-342, Jstor.
- A
Regularization Method for the Numerical Inversion of the Laplace
Transform
Chen Wei Dong
SIAM Journal on Numerical Analysis, Vol. 30, No. 3. (Jun., 1993),
pp. 759-773, Jstor.
- Hybrid Laplace transform/weighting function scheme for
transient multidimensional conservation equations.
Chen, Tzer Ming
Comput. Math. Appl. 26 (1993), no. 12, 25--34,
MathSciNet.
- Hardy
Integral Estimates for the Laplace
Transform
Steven Bloom
Proceedings of the American Mathematical Society, Vol. 116, No. 2.
(Oct., 1992), pp. 417-426, Jstor.
- Teaching
the Laplace Transform Using Diagrams (in Classroom
Capsules)
V. Ngo; S. Ouzomgi
The College Mathematics Journal, Vol. 23, No. 4. (Sep., 1992), pp.
309-312, Jstor.
- Systems
of Linear Differential Equations by Laplace
Transform
H. Guggenheimer
The College Mathematics Journal, Vol. 23, No. 3. (May, 1992), pp.
196-202, Jstor.
- A
Fast Laplace Transform Based on Laguerre
Functions
John Strain
Mathematics of Computation, Vol. 58, No. 197. (Jan., 1992), pp.
275-283, Jstor.
- Direct method of finding the inverse Laplace transforms.
Bhaskara Murthy, V. S.
Math. Ed. (Siwan) 26 (1992), no. 2, 128--131,
MathSciNet.
- Generalised Laplace transforms of distributions.
Rao, G. L. N.
Math. Ed. (Siwan) 26 (1992), no. 4, 250--253,
MathSciNet.
- A modified hybrid Laplace transform/finite element method for
transient heat conduction problems.
Chen, Tzer Ming
Comput. Methods Appl. Mech. Engrg. 98 (1992), no. 2, 261--272,
MathSciNet.
- The Laplace transform of the product of generalized Struve
function and H-function of one variable.
Nair, V. C.; Prasana Kumari, M. R.
Math. Ed. (Siwan) 26 (1992), no. 1, 6--10,
MathSciNet.
- Improved FFT-based numerical inversion of Laplace transforms
via fast Hartley transform algorithm.
Hwang, Chyi; Lu, Ming Jeng; Shieh, Leang S.
Comput. Math. Appl. 22 (1991), no. 1, 13--24,
MathSciNet.
- Tauberian
Theorems for the Laplace-Stieltjes
Transform
C. J. K. Batty
Transactions of the American Mathematical Society, Vol. 322, No.
2. (Dec., 1990), pp. 783-804, Jstor.
- Convergence
of Piessens' Method for Numerical Inversion of the Laplace
Transform on the Real Line
Davis K. Cope
SIAM Journal on Numerical Analysis, Vol. 27, No. 5. (Oct., 1990),
pp. 1345-1354, Jstor.
- Error
Analysis of a Laplace Transform Inversion
Procedure
Wilson C. Obi
SIAM Journal on Numerical Analysis, Vol. 27, No. 2. (Apr., 1990),
pp. 457-469, Jstor.
- Tauberian
Theorems for the Laplace-Stieltjes
Transform
C. J. K. Batty
Transactions of the American Mathematical Society, Vol. 322, No.
2. (Dec., 1990), pp. 783-804, Jstor.
- A note on the inversion of Laplace transforms.
Chakrabarti, A.
Internat. J. Math. Ed. Sci. Tech. 21 (1990), no. 2, 325--328,
MathSciNet.
- Laplace transform pairs of n-dimensions and heat conduction
problem.
Dahiya, R. S.; Vinayagamoorthy, M.
Math. Comput. Modelling 13 (1990), no. 10, 35--50,
MathSciNet.
- On a generalization of Laplace transform due to E.
Kratzel.
Barrios, Javier A.; Betancor, Jorge J.
J. Inst. Math. Comput. Sci. Math. Ser. 3 (1990), no. 3, 273--291,
MathSciNet.
- Iterative Laplace transforms of two variables.
Babakahani, A.; Dahiya, R. S.
Comput. Math. Appl. 19 (1990), no. 6, 71--93,
MathSciNet.
- An
Inverse Laplace Transform: Problem 88-20 (in
Solutions)
O. G. Ruehr
SIAM Review, Vol. 31, No. 4. (Dec., 1989), pp. 685-686,
Jstor.
- Complex
Variable and Regularization Methods of Inversion of the Laplace
Transform
D. D. Ang; John Lund; Frank Stenger
Mathematics of Computation, Vol. 53, No. 188. (Oct., 1989), pp.
589-608, Jstor.
- A
Laplace Transform: Problem 88-13 (in
Solutions)
Norbert Ortner; Peter Wagner
SIAM Review, Vol. 31, No. 3. (Sep., 1989), pp. 497-498,
Jstor.
- Theorems on multidimensional Laplace transform for solution of
boundary value problems.
Debnath, Joyati; Dahiya, R. S.
Comput. Math. Appl. 18 (1989), no. 12, 1033--1056,
MathSciNet.
- Complex-inversion formula for a distributional generalized
Laplace transform.
Akhaury, S. K.; Kumar, Vijoy
Nepali Math. Sci.
Rep. 14 (1989), no. 1-2, 13--24,
MathSciNet.
- Complex variable and regularization methods of inversion of
the Laplace transform.
Ang, D. D.; Lund, John; Stenger, Frank
Math. Comp. 53 (1989), no. 188,
589--608, MathSciNet.
- The Laplace transform and continuation of analytic functions.
(Russian)
Napalkov, V. V.
Investigations in the theory of approximations (Russian), 86--91,
Akad. Nauk SSSR Ural. Otdel., Bashkir. Nauchn. Tsentr, Ufa, 1989,
MathSciNet.
- Fourier-Laplace
Transforms and the Bergman Spaces
Saburou Saitoh
Proceedings of the American Mathematical Society, Vol. 102, No. 4.
(Apr., 1988), pp. 985-992, Jstor.
- Numerical inversion of Mellin moments and Laplace
transforms.
Migneron, R.; Narayanan, K. S. S.
Comput. Phys. Comm. 49 (1988), no. 3, 457--463,
MathSciNet.
- The
Laplace Transform Inversion by
Inspection
Abraham Ungar
The American Mathematical Monthly, Vol. 93, No. 10. (Dec., 1986),
pp. 786-791, Jstor.
- Modification
of the Weeks Method for Numerical Inversion of the Laplace
Transform
J. N. Lyness; G. Giunta
Mathematics of Computation, Vol. 47, No. 175. (Jul., 1986), pp.
313-322, Jstor.
- Shorter
Notes: Ranges of Joint Laplace-Fourier
Transforms
Daniel J. Grubb
Proceedings of the American Mathematical Society, Vol. 97, No. 2.
(Jun., 1986), pp. 372-373, Jstor.
- Computation of Fourier and Laplace transforms of singular
functions using modified moments.
Piessens, R.; Branders, M.
Comput. Math. Appl. Part B 12 (1986), no. 5-6, 1241--1248,
MathSciNet.
- Convolution operators for the Laplace transform.
(Spanish)
Pérez Esteva, Salvador
Research program of the XVIIIth national congress of the Mexican
Mathematical Society (Spanish) (Mérida,
1984), 332--338, Aportaciones Mat. Comun., 1, Soc. Mat.
Mexicana, México, 1986. (Reviewer: Donald Myers) 46F12
(44A10 46F05 46F10)
- On
the Recovery and Resolution of Exponential Relaxation Rates from
Experimental Data. III. The Effect of Sampling and Truncation of
Data on the Laplace Transform Inversion
M. Bertero; P. Brianzi; E. R. Pike
Proceedings of the Royal Society of London. Series A, Mathematical
and Physical Sciences, Vol. 398, No. 1814. (Mar. 8, 1985), pp.
23-44, Jstor.
- On the Laplace transform of a class of analytic functions.
Rusev, Petar
Bull. Soc. Sci. Lett. L 35 (1985), no. 1, 5 pp.,
MathSciNet.
- A theorem on Laplace transform and double contour integrals
involving Legendre and Meijer's G-function.
Gupta, L. C.
Res. Bull. Panjab Univ. (N.S.) 36 (1985), no. 1-2, 147--152,
MathSciNet.
- The true origins of the Laplace transform.
Deakin, Michael A. B.
Math. Ed. 1 (1985), no. 4, 24--28, MathSciNet.
- On
the Recovery and Resolution of Exponential Relaxation Rates from
Experimental Data: A Singular-Value Analysis of the Laplace
Transform Inversion in the Presence of
Noise
M. Bertero; P. Boccacci; E. R. Pike
Proceedings of the Royal Society of London. Series A, Mathematical
and Physical Sciences, Vol. 383, No. 1784. (Sep. 8, 1982), pp.
15-29, Jstor.
- A computational solution for the matrix Riccati equation using
Laplace transforms.
Razzaghi, M.
Internat. J. Comput. Math. 11 (1982), no. 3-4, 297--304,
MathSciNet.
- Laplace
Transforms (in Notes)
Katharine O'Brien
Mathematics Magazine, Vol. 54, No. 2. (Mar., 1981), p. 78,
Jstor.
- Euler's
Version of the Laplace Transform
Michael A. B. Deakin
The American Mathematical Monthly, Vol. 87, No. 4. (Apr., 1980),
pp. 264-269, Jstor.
- Relation between real and complex properties of the Laplace
transform.
Sova, Miroslav
With a loose Russian summary. Casopis Pest.
Mat. 105 (1980), no. 2, 111--119, 208,
MathSciNet.
- Complex variables and the Laplace transform for engineers.
Corrected reprint of the 1961 original.
LePage, Wilbur R.
Dover Publications, Inc., New York, 1980. xvii+475 pp. ISBN:
0-486-63926-6 30-01, MathSciNet.
- Ultradistributions and quantum fields: Fourier-Laplace
transforms and boundary values of analytic functions.
Constantinescu, F.; Thalheimer, W.
Rep. Math. Phys. 16 (1979), no. 2, 167--180,
MathSciNet.
- The symmetric Laplace transform of the function
(1/s)exp(-as/(s+b)). (Spanish)
de Swaan Oliva, Abraham
Acta Mexicana Cienc. Tecn. 9(10) (1975/76),
no. 25-30, 26--28 (1978). (Reviewer: L. Arteaga) 44A10
- New
Methods for Accelerating the Convergence of Sequences Arising in
Laplace Transform Theory
Jet Wimp
SIAM Journal on Numerical Analysis, Vol. 14, No. 2. (Apr., 1977),
pp. 194-204, Jstor.
- A
Note on a Laplace Transform Pair Associated with Mass Transport in
Porous Media and Heat Transport
Problems
F. T. Lindstrom; F. Oberhettinger
SIAM Journal on Applied Mathematics, Vol. 29, No. 2. (Sep., 1975),
pp. 288-292, Jstor.
- Integration
of Ordinary Linear Differential Equations by Laplace-Stieltjes
Transforms
James D'Archangelo; Philip Hartman
Transactions of the American Mathematical Society, Vol. 204.
(Apr., 1975), pp. 245-266, Jstor.
- On
Laplace Transforms Near the Origin
R. Wong
Mathematics of Computation, Vol. 29, No. 130. (Apr., 1975), pp.
573-576, Jstor.
- Simultaneous
Reduction and Expansion of Multidimensional Laplace Transform
Kernels
Larry A. Crum; James A. Heinen
SIAM Journal on Applied Mathematics, Vol. 26, No. 4. (Jun., 1974),
pp. 753-771, Jstor.
- Linear
Ordinary Differential Equations with Laplace-Stieltjes Transforms
as Coefficients
James D'Archangelo
Transactions of the American Mathematical Society, Vol. 195.
(Aug., 1974), pp. 115-145, Jstor.
- Linear
Ordinary Differential Equations with Laplace-Stieltjes Transforms
as Coefficients
James D'Archangelo
Transactions of the American Mathematical Society, Vol. 195.
(Aug., 1974), pp. 115-145, Jstor.
- Some rules in Laplace transform of one and two variables.
Saxena, Vinod Prakash
Math. Education 8 (1974), A1--A8, MathSciNet.
- Some theorems on the generalized Laplace transform.
(Spanish)
González de Galindo, S. E.
Univ. Nac. Tucumán Rev. Ser.
A 23 (1973), 199--204 (1974). (Reviewer: N.
Hayek Calil) 44A15
- On
the Generation of Rational Function Approximations for Laplace
Transform Inversion with an Application to
Viscoelasticity
I. M. Longman
SIAM Journal on Applied Mathematics, Vol. 24, No. 4. (Jun., 1973),
pp. 429-440, Jstor.
- Asymptotic
Inversion of Laplace Transforms: A Class of
Counterexamples
John S. Lew
Proceedings of the American Mathematical Society, Vol. 39, No. 2.
(Jul., 1973), pp. 329-336, Jstor.
- On
Hardy's Inequality and Laplace Transforms in Weighted
Rearrangement Invariant Spaces
Kenneth F. Andersen
Proceedings of the American Mathematical Society, Vol. 39, No. 2.
(Jul., 1973), pp. 295-299, Jstor.
- Traffic
Flow: Laplace Transforms (in Classroom
Notes)
E. A. Bender; L. P. Neuwirth
The American Mathematical Monthly, Vol. 80, No. 4. (Apr., 1973),
pp. 417-423, Jstor.
- Applications
of Laplace Transforms and their
Inverses
Charles Fox
Proceedings of the American Mathematical Society, Vol. 35, No. 1.
(Sep., 1972), pp. 193-200, Jstor.
- Approximate
Laplace Transform Inversion Applied to a Problem in Electrical
Network Theory
I. M. Longman
SIAM Journal on Applied Mathematics, Vol. 23, No. 4. (Dec., 1972),
pp. 439-445, Jstor.
- On
the Laplace Transform of a Temperate Distribution Supported by a
Cone
Bent E. Petersen
Proceedings of the American Mathematical Society, Vol. 35, No. 1.
(Sep., 1972), pp. 123-128, Jstor.
- Laplace transform and self-reciprocal functions.
Sharma, Umesh Chandra
Math. Education 6 (1972), A9--A12, MathSciNet.
- Meijer-Laplace transform and fractional integration.
Mathur, S. L.
Math. Education 5 (1971), A58--A64, MathSciNet.
- On
Rational Approximation to the Inverse Laplace
Transform
J. E. Akin; J. Counts
SIAM Journal on Applied Mathematics, Vol. 17, No. 6. (Nov., 1969),
pp. 1035-1040, Jstor.
- On
the Condition of a Matrix Arising in the Numerical Inversion of
the Laplace Transform
Walter Gautschi
Mathematics of Computation, Vol. 23, No. 105. (Jan., 1969), pp.
109-118, Jstor.
- The
Asymptotic Estimation of a Laplace Transform-arising in the Theory
of Magnetoresistance
H. O. Pollak; Lowell Schoenfeld
SIAM Journal on Applied Mathematics, Vol. 17, No. 1. (Jan., 1969),
pp. 206-211, Jstor.
- A theorem on the Laplace transform of two variables.
(Spanish)
Dahiya, R. S.
Repûb. Venezuela Bol. Acad. Ci. Fís. Mat.
Natur. 29 (1969), no. 82, 72--78. (Reviewer:
L. Berg) 44A10
- Some
Properties of Laplace Transforms of
Measures
O. S. Rothaus
Transactions of the American Mathematical Society, Vol. 131, No.
1. (Apr., 1968), pp. 163-169, Jstor.
- Numerical
Inversion of a Laplace Transform
R. A. Spinelli
SIAM Journal on Numerical Analysis, Vol. 3, No. 4. (Dec., 1966),
pp. 636-649, Jstor.
- Numerical
Inversion of the Laplace Transform by Use of Jacobi
Polynomials
Max K. Miller; W. T. Guy, Jr.
SIAM Journal on Numerical Analysis, Vol. 3, No. 4. (Dec., 1966),
pp. 624-635, Jstor.
- Inversion
of the N-Dimensional Laplace Transform (in Technical Notes and
Short Papers)
Bruce S. Berger
Mathematics of Computation, Vol. 20, No. 95. (Jul., 1966), pp.
418-421, Jstor.
- The
Radial Heat Equation and Laplace
Transforms
Louis R. Bragg
SIAM Journal on Applied Mathematics, Vol. 14, No. 5. (Sep., 1966),
pp. 986-993, Jstor.
- A
Characterization of the Inverse Laplace Transforms of Rational
Positive-Real Matrices
A. H. Zemanian
Journal of the Society for Industrial and Applied Mathematics,
Vol. 13, No. 2. (Jun., 1965), pp. 463-468, Jstor.
- Necessary
and Sufficient Conditions for a Matrix Distribution to have a
Positive-Real Laplace Transform
Heinz Konig; Armen H. Zemanian
Journal of the Society for Industrial and Applied Mathematics,
Vol. 13, No. 4. (Dec., 1965), pp. 1036-1040,
Jstor.
- A
Class of Expansions of G-Functions and the Laplace Transform (in
Technical Notes and Short Papers)
Arun Verma
Mathematics of Computation, Vol. 19, No. 92. (Oct., 1965), pp.
664-666, Jstor.
- Laplace
Transforms and Canonical Matrices
Harry Hochstadt
The American Mathematical Monthly, Vol. 71, No. 7. (Aug. - Sep.,
1964), pp. 728-736, Jstor.
- Inversion
of Fourier and Laplace Transforms
R. P. Boas, Jr.
The American Mathematical Monthly, Vol. 69, No. 10. (Dec., 1962),
pp. 955-960, Jstor.
- The
Evaluation of Inverse Laplace Transforms Without the Aid of
Contour Integration
H. Goldenberg
SIAM Review, Vol. 4, No. 2. (Apr., 1962), pp. 94-104,
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Differential Equations and Laplace
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Aurel Wintner
American Journal of Mathematics, Vol. 79, No. 2. (Apr., 1957), pp.
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Inversion of the Laplace and Stieltjes Transforms Utilizing
Difference Operators
R. S. Pinkham
Transactions of the American Mathematical Society, Vol. 83, No. 1.
(Sep., 1956), pp. 1-18, Jstor.
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Polynomials Arising in the Numerical Evaluation of Inverse Laplace
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Herbert E. Salzer
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- Applications
of a Theorem of O. Szasz for the Product of Cesaro and Laplace
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C. T. Rajagopal; Amnon Jakimovski
Proceedings of the American Mathematical Society, Vol. 5, No. 3.
(Jun., 1954), pp. 370-384, Jstor.
- An
Inversion Formula for Laplace Transforms and Semi-Groups of Linear
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R. S. Phillips
The Annals of Mathematics, 2nd Ser., Vol. 59, No. 2. (Mar., 1954),
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- Laplace
Transform of (erf t^1/2)^2 (in Mathematical
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I. Opatowski
The American Mathematical Monthly, Vol. 59, No. 6. (Jun. - Jul.,
1952), p. 392, Jstor.
- Problems solved and unsolved in the theory of the Laplace
transform. (Spanish)
Doetsch, Gustav
Rev. Acad. Ci. Madrid 46, (1952). 125--136.
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integration. (Spanish)
Mañas Díaz, J.
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Differential Equations with Almost Periodic or Laplace Transform
Coefficients
Calvin R. Putnam; Aurel Wintner
American Journal of Mathematics, Vol. 73, No. 4. (Oct., 1951), pp.
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- On
the Small Divisors in Integrations by Laplace
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Aurel Wintner
American Journal of Mathematics, Vol. 73, No. 1. (Jan., 1951), pp.
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- A
Symbolic Form of the Classical Complex Inversion Formula for a
Laplace Transform (in Mathematical
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D. V. Widder
The American Mathematical Monthly, Vol. 58, No. 3. (Mar., 1951),
pp. 179-181, Jstor.
- Certain
Inversion Formulas for the Laplace
Transform
Dennis B. Ames
Proceedings of the American Mathematical Society, Vol. 1, No. 1.
(Feb., 1950), pp. 99-106, Jstor.
- The
Inversion of the Laplace Transformation
A. Erdelyi
Mathematics Magazine, Vol. 24, No. 1. (Sep. - Oct., 1950), pp.
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- A
Symbolic Form of an Inversion Formula for a Laplace Transform (in
Mathematical Notes)
D. V. Widder
The American Mathematical Monthly, Vol. 55, No. 8. (Oct., 1948),
pp. 489-491, Jstor.
- A
Note on Laplace Transforms of Functions Whose Spectra are Confined
to a Given Set
E. K. Haviland
American Journal of Mathematics, Vol. 69, No. 2. (Apr., 1947), pp.
279-285, Jstor.
- Elementary
Evaluation of Laplace Transforms
D. E. Richmond
The American Mathematical Monthly, Vol. 52, No. 9. (Nov., 1945),
pp. 481-487, Jstor.
- What
is the Laplace Transform?
D. V. Widder
The American Mathematical Monthly, Vol. 52, No. 8. (Oct., 1945),
pp. 419-425, Jstor.
- Bounded
Laplace Transforms
N. N. Royall Jr.
The American Mathematical Monthly, Vol. 49, No. 9. (Nov., 1942),
pp. 600-604, Jstor.
- Conjugate
Systems of Curves on a Surface Both of Whose Laplace Transforms
are Lines of Curvature
J. M. Stetson
The Annals of Mathematics, 2nd Ser., Vol. 19, No. 2. (Dec., 1917),
pp. 106-126, Jstor.
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