Bibliography for Contour Integrals

short

 

  1. A Special Integral Representation for a Local Residue  
    Shaimkulov B.A.  
    Siberian Mathematical Journal, September 2002, vol. 43, no. 5, pp. 963-966(4), Ingenta.    
  2. Residue theorem and related integrals  
    De Oliveira E.C.  
    International Journal of Mathematical Education in Science and Technology, 1 January 2001, vol. 32, no. 1, pp. 156-160(5), Ingenta.   
  3. Use of the residue theorem to invert Laplace transforms  
    Loney, N.W.  
    Chemical Engineering Education, v 35, n 1, Winter, 2001, p 22-24, Compendex.  
  4. Magnification relations in gravitational lensing via multidimensional residue integrals.
    Dalal, Neal; Rabin, Jeffrey M.
    J. Math. Phys. 42 (2001), no. 4, 1818--1836, MathSciNet.  
  5. Formulas for the numerical approximation of contour integrals
    Acharya, B.P. (Utkal Univ);   Mohanty, N.  
    International Journal of Computer Mathematics, v 70, n 3, 1999, p 445-451, Compendex.
  6. Evaluation of infinite range oscillatory integrals using optimal contours in the complex plane  
    Evans, G.A.;  Chung, K.C.  
    International Journal of Computer Mathematics, v 66, n 1-2, 1998, p 39-52, Compendex
  7. A Closed Contour of Integration in Regge Calculus  
    Birmingham D.  
    General Relativity and Gravitation, January 1998, vol. 30, no. 1, pp. 83-103(21), Ingenta.      
  8. A Study on the Epstein-Hubbell Generalized Elliptic-Type Integral Using Residue Theory  
    Cengiz A.
    Applied Mathematics and Computation, April 1997, vol. 83, no. 1, pp. 19-26(8), Ingenta.     
  9. A study on the Epstein-Hubbell generalized elliptic-type integral using residue theory.
    Cengiz, Ahmet
    Appl. Math. Comput. 83 (1997), no. 1, 19--26, MathSciNet.  
  10. Residue integrals and their Mellin transforms.
    Passare, Mikael; Tsikh, August
    Canad. J. Math. 47 (1995), no. 5, 1037--1050, MathSciNet.  
  11. Applications of complex variable residue theory to the evaluation of irrational definite integrals. III.
    Evans, James D.; Roberson, Thomas L.
    Appl. Math. Comput. 63 (1994), no. 1, 1--34, MathSciNet.  
  12. Exact series solution to the Epstein-Hubbell generalized elliptic type integral using complex variable residue theory.
    Evans, James D.; Hubbell, John H.; Evans, Valerie D.
    Appl. Math. Comput. 53 (1993), no. 2-3, 173--189, MathSciNet.  
  13. Contour Integrals for the Ultrahyperbolic Wave Equation (in Rapid Communications)  
    N. M. J. Woodhouse  
    Proceedings: Mathematical and Physical Sciences, Vol. 438, No. 1902. (Jul. 8, 1992), pp. 197-206, Jstor.  
  14. Contour Integrals for the Ultrahyperbolic Wave Equation (in Rapid Communications)  
    N. M. J. Woodhouse  
    Proceedings: Mathematical and Physical Sciences, Vol. 438, No. 1902. (Jul. 8, 1992), pp. 197-206, Jstor.  
  15. Fast computation of numerical partial fraction decompositions and contour integrals of rational functions  
    Kirrinnis, Peter  
    Proceedings of the International Symposium on Symbolic and Algebraic Computation, 1992, p 16, Compendex.  
  16. A Simple Interpretation of the Complex Contour Integral (in The Teaching of Mathematics)  
    Alan Gluchoff  
    American Mathematical Monthly, Vol. 98, No. 7. (Aug. - Sep., 1991), pp. 641-644, Jstor.  
  17. A Note on the Contour Integral Representation of the Remainder Term for a Gauss-Chebyshev Quadrature Rule
    Walter Gautschi; E. Tychopoulos; R. S. Varga
    SIAM Journal on Numerical Analysis, Vol. 27, No. 1. (Feb., 1990), pp. 219-224, Jstor.  
  18. Applications of complex variable residue theory to the evaluation of irrational definite integrals. I.
    Evans, James D.
    Appl. Math. Comput. 39 (1990), no. 2, part II, 145--157, MathSciNet.  
  19. Evaluation of four irrational definite sine integrals using residue theory.
    Evans, James D.
    Appl. Math. Comput. 36 (1990), no. 3, 163--172, MathSciNet.  
  20. Evaluation of four irrational cosine definite integrals using residue theory.
    Evans, James D.; Evans, Lori M.
    Appl. Math. Comput. 33 (1989), no. 3, 149--159, MathSciNet.  
  21. Special Integration Techniques for Trigonometric Integrals (in The Teaching of Mathematics)  
    Ashok K. Arora; Sudhir K. Goel; Dennis M. Rodriguez  
    American Mathematical Monthly, Vol. 95, No. 2. (Feb., 1988), pp. 126-130, Jstor.  
  22. Contour Integration: an Integral Evaluated  
    Sackfield, A. and D. A. Hills  
    Int. J. of Math. Ed. in Sci. and Tech., (1988), V. 19, No. 1, pp. 73-77.  
  23. Polya's Geometric Picture of Complex Contour Integrals  
    Bart Braden  
    Mathematics Magazine, Vol. 60, No. 5. (Dec., 1987), pp. 321-327, Jstor.  
  24. Evaluation of the H-Function Inversion Integral for Real Variables Using Jordan's Lemma and Residues  
    Melvin D. Springer   
    SIAM Journal on Applied Mathematics, Vol. 47, No. 2. (Apr., 1987), pp. 416-424, Jstor.  
  25. Residue solutions to holomorphic Cauchy problems.
    Passare, Mikael
    Seminar in Complex Analysis and Geometry 1987 (Rende, 1987), 99--105, Sem. Conf., 1, EditEl, Rende, 1988, MathSciNet.  
  26. More Trigonometric Integrals  
    Henry E. Fettis  
    Mathematics of Computation, Vol. 43, No. 168. (Oct., 1984), pp. 557-564, Jstor.  
  27. The Application of the Residue Theorem to the Study of a Finite Queue with Batch Poisson Arrivals and Synchronous Servers  
    Jin-Fu Chang; Rong-Feng Chang  
    SIAM Journal on Applied Mathematics, Vol. 44, No. 3. (Jun., 1984), pp. 646-656, Jstor.  
  28. Evaluation of Certain Real Integrals by Contour Integration (in Notes)  
    Baldev K. Sachdeva; Bertram Ross  
    American Mathematical Monthly, Vol. 89, No. 4. (Apr., 1982), pp. 246-249, Jstor.  
  29. A Simplification in Contour Integration  
    Sachdeva, Baldev K. and Bertram Ross  
    Int. J. of Math. Ed. in Sci. and Tech., (1981), V. 12, No. 1, pp. 57-61.  
  30. On Some Trigonometric Integrals  
    Henry E. Fettis  
    Mathematics of Computation, Vol. 35, No. 152. (Oct., 1980), pp. 1325-1329, Jstor.  
  31. Product integrals. II. Contour integrals.
    Friedman, Charles N.; Dollard, John D.
    J. Funct. Anal. 28 (1978), no. 3, 355--368, MathSciNet.  
  32. A Simplification in Certain Contour Integrals (in Classroom Notes)   
    Harold P. Boas; Eduardo Friedma
    American Mathematical Monthly, Vol. 84, No. 6. (Jun. - Jul., 1977), pp. 467-468, Jstor.  
  33. Calculus of residues and general Cauchy formulas in Cn.
    Aronszajn, Nachman
    Bull. Sci. Math. (2) 101 (1977), no. 4, 319--352, MathSciNet.  
  34. Integral Representation Formulae and Grothendieck Residue Symbol  
    Yue Lin L. Tong  
    American Journal of Mathematics, Vol. 95, No. 4. (Winter, 1973), pp. 904-917, Jstor.  
  35. Evaluation of some Integrals by Contour Integration (in Mathematical Notes)  
    M. Lutzky  
    American Mathematical Monthly, Vol. 77, No. 10. (Dec., 1970), pp. 1080-1082, Jstor.  
  36. The Fresnel Integrals (in Classroom Notes)  
    C. D. Olds  
    American Mathematical Monthly, Vol. 75, No. 3. (Mar., 1968), pp. 285-286, Jstor.  
  37. On Numerical Contour Integration Round a Closed Contour  
    J. N. Lyness; L. M. Delves  
    Mathematics of Computation, Vol. 21, No. 100. (Oct., 1967), pp. 561-577, Jstor.  
  38. Some Integrals of Ramanujan and Related Contour Integrals (in Technical Notes and Short Papers)  
    Van E. Wood  
    Mathematics of Computation, Vol. 20, No. 95. (Jul., 1966), pp. 424-429, Jstor.  
  39. Indefinite Integration by Residues II (in Classroom Notes)  
    R. P. Boas, Jr.; Lowell Schoenfeld  
    American Mathematical Monthly, Vol. 73, No. 8. (Oct., 1966), p. 881, Jstor.  
  40. Correction for "Indefinite Integration by Residues" (in Classroom Notes)  
    R. P. Boas, Jr.  
    American Mathematical Monthly, Vol. 71, No. 8. (Oct., 1964), p. 906, Jstor.  
  41. Indefinite Integration by Residues (in Classroom Notes)  
    R. P. Boas, Jr.  
    American Mathematical Monthly, Vol. 71, No. 3. (Mar., 1964), pp. 298-300, Jstor.  
  42. Indefinite Integration by Residues  
    R. P. Boas, Jr.; Lowell Schoenfeld  
    SIAM Review, Vol. 8, No. 2. (Apr., 1966), pp. 173-183, Jstor.  
  43. Evaluation of Certain Improper Integrals by Residues (in Classroom Notes)  
    S. Melamed; H. Kaufman  
    American Mathematical Monthly, Vol. 72, No. 10. (Dec., 1965), pp. 1111-1112, Jstor.  
  44. Some Contour Integral Solutions to Bessel's Equation (in Mathematical Notes)  
    James M. Horner  
    American Mathematical Monthly, Vol. 71, No. 6. (Jun. - Jul., 1964), pp. 642-643, Jstor.  
  45. Contour Integration for Rational Functions (in Classroom Notes)  
    Erwin Just; Norman Schaumberger  
    American Mathematical Monthly, Vol. 71, No. 5. (May, 1964), pp. 546-547, Jstor.  
  46. 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, Jstor.  
  47. Note on Evaluating Certain Real Integrals by Cauchy's Residue Theorem (in Classroom Notes)  
    Orin J. Farrell  
    American Mathematical Monthly, Vol. 68, No. 2. (Feb., 1961), pp. 151-152, Jstor.  
  48. Correction: Fourier analysis of engine unbalance by contour integration  
    W. E. Bleick  
    American Mathematical Monthly, Vol. 64, No. 3. (Mar., 1957), p. 180, Jstor.  
  49. Fourier Analysis of Engine Unbalance by Contour Integration  
    W. E. Bleick  
    American Mathematical Monthly, Vol. 63, No. 7. (Aug. - Sep., 1956), pp. 466-472, Jstor.  
  50. The Incomplete Beta Function as a Contour Integral and a Quickly Converging Series for Its Inverse  
    M. E. Wise  
    Biometrika, Vol. 37, No. 3/4. (Dec., 1950), pp. 208-218, Jstor.  
  51. Contour Integration in the Theory of the Spherical Pendulum and the Heavy Symmetrical Top  
    Walter Kohn  
    Transactions of the American Mathematical Society, Vol. 59, No. 1. (Jan., 1946), pp. 107-131, Jstor.  
  52. A Contour Integral and First Order Expansion Problem  
    H. P. Doole  
    National Mathematics Magazine, Vol. 20, No. 2. (Nov., 1945), pp. 79-85, Jstor.  
  53. A Convergence Proof Involving an Inseparable Multiple Contour Integral  
    Chester C. Camp  
    American Journal of Mathematics, Vol. 65, No. 2. (Apr., 1943), pp. 216-220, Jstor.  
  54. On the Asymptotic Evaluation of Functions Defined by Contour Integrals  
    D. M. Wrinch  
    American Journal of Mathematics, Vol. 50, No. 2. (Apr., 1928), pp. 269-302, Jstor.  

 

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