Bibliography for Taylor Series

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  1. Computationally efficient, numerically exact design space derivatives via the complex Taylor's series expansion method
    Burg C.O.E.; Newman III J.C.
    Computers and Fluids, March 2003, vol. 32, no. 3, pp. 373-383(11), Ingenta.  
  2. Improved validated bounds for Taylor coefficients and for Taylor remainder series
    Neher M.
    Journal of Computational and Applied Mathematics, 1 March 2003, vol. 152, no. 1, pp. 393-404(12), Ingenta.  
  3. On Taylor series expansion for chaotic nonlinear systems
    Richter H.; Stein G.
    Chaos, Solitons and Fractals, July 2002, vol. 13, no. 9, pp. 1783-1789(7), Ingenta.  
  4. A universal Taylor series in the doubly connected domain C1.  
    Vlachou, V.
    Complex Var. Theory Appl.  47  (2002),  no. 2, 123--129, MathSciNet.  
  5. Universality of Taylor Series as a Generic Property of Holomorphic Functions
    Melas A.; Nestoridis V.
    Advances in Mathematics, February 2001, vol. 157, no. 2, pp. 138-176(39), Ingenta.  
  6. Taylor series and orthogonality of the octonion analytic functions.  
    Li, Xingmin; Peng, Lizhong
    Acta Math. Sci. Ser. B Engl. Ed.  21  (2001),  no. 3, 323--330, MathSciNet.  
  7. Some remarks on universal functions and Taylor series.
    Costakis, G.
    Math. Proc. Cambridge Philos. Soc. 128 (2000), no. 1, 157--175, MathSciNet.  
  8. Approximation by Taylor polynomials in two-dimensional case  
    Tachev, G.  
    God. Univ. Arkhit. Stroit. Geod. Sofiya Svitdprime k II Mat. Mekh. 39 (1996/97), 81--86 (1999), Math. Sci. Net.  
  9. On random Taylor series.
    Ding, Xiaoqing
    Wuhan Univ. J. Nat. Sci. 3 (1998), no. 3, 257--260, MathSciNet.  
  10. Elliptic Integrals and the Schwarz-Christoffel Transformation
    Hassenpflug W.C.
    Computers and Mathematics with Applications, June 1997, vol. 33, no. 12, pp. 15-114(100), Ingenta.  
  11. Summability transforms of the Taylor series.
    Daras, Nicholas J.
    Math. Japon. 43 (1996), no. 3, 497--503, MathSciNet.  
  12. Approximate solution of linear systems with point delays using Taylor series. (Spanish)
    Alastruey, Carlos F.; González de Mendívil, José R.
    Rev. Internac. Métod. Numér. Cálc. Diseñ. Ingr. 11 (1995), no. 3, 323--343, MathSciNet.  
  13. The Empirical Nature of Taylor-Series Approximations to Expected Utility  
    Walter Hlawitschka  
    The American Economic Review, Vol. 84, No. 3. (Jun., 1994), pp. 713-719, Jstor.  
  14. A probabilistic generalization of Taylor's theorem.
    Massey, William A.; Whitt, Ward
    Statist. Probab. Lett. 16 (1993), no. 1, 51--54, MathSciNet.  
  15. On the Determination of the Intermediate Point in Taylor's Theorem  
    Ruben Mera  
    American Mathematical Monthly, Vol. 99, No. 1. (Jan., 1992), pp. 56-58, Jstor.
  16. Remainder Estimates in Taylor's Theorem (in The Teaching of Mathematics)  
    G. B. Folland  
    American Mathematical Monthly, Vol. 97, No. 3. (Mar., 1990), pp. 233-235, Jstor.
  17. The Remainder in Taylor's Formula  
    Esteban I. Poffald  
    American Mathematical Monthly, Vol. 97, No. 3. (Mar., 1990), pp. 205-213, Jstor.
  18. A Comparison of Some Taylor and Chebyshev Series  
    R. E. Scraton  
    Mathematics of Computation, Vol. 50, No. 181. (Jan., 1988), pp. 207-213, Jstor.  
  19. A Simplification of Taylor's Theorem (in The Teaching of Mathematics)  
    Fred Brauer  
    American Mathematical Monthly, Vol. 94, No. 5. (May, 1987), pp. 453-455, Jstor.
  20. Best Rational Approximations of Entire Functions Whose Maclaurin Series Coefficients Decrease Rapidly and Smoothly  
    A. L. Levin; D. S. Lubinsky  
    Transactions of the American Mathematical Society, Vol. 293, No. 2. (Feb., 1986), pp.  533-545, Jstor.  
  21. Rediscovering Taylor's Theorem  
    Dan Kalman  
    College Math Journal: Volume 16, Number 2, (1985), Pages: 103-107.    
  22. A summability approximation theorem for Taylor series of meromorphic functions.
    Tomm, Ludwig
    J. Reine Angew. Math. 339 (1983), 133--146, MathSciNet.  
  23. On the Lagrange Remainder of the Taylor Formula (in Notes)  
    Alfonso G. Azpeitia  
    American Mathematical Monthly, Vol. 89, No. 5. (May, 1982), pp. 311-312, Jstor.
  24. Every Power Series is a Taylor Series (in Classroom Notes)  
    Mark D. Meyerson  
    American Mathematical Monthly, Vol. 88, No. 1. (Jan., 1981), pp. 51-52, Jstor.
  25. Modified Convergence of Taylor Series (in Classroom Notes)  
    Robert D. Small  
    American Mathematical Monthly, Vol. 88, No. 6. (Jun. - Jul., 1981), pp. 439-441, Jstor.  
  26. The value-distribution of random Taylor series in the unit disk.
    Murai, Takafumi
    J. London Math. Soc. (2) 24 (1981), no. 3, 480--494, MathSciNet.  
  27. Deducing the Properties of Singularities of Functions From Their Taylor Series Coefficients  
    C. Hunter; B. Guerrieri  
    SIAM Journal on Applied Mathematics, Vol. 39, No. 2. (Oct., 1980), pp. 248-263, Jstor.  
  28. Boundary Values of Absolutely Convergent Taylor Series  
    Aharon Atzmon  
    The Annals of Mathematics, 2nd Ser., Vol. 111, No. 2. (Mar., 1980), pp. 231-237, Jstor.  
  29. A Rudin-Carleson theorem for uniformly convergent Taylor series.
    Oberlin, Daniel M.
    Michigan Math. J. 27 (1980), no. 3, 309--313, MathSciNet.  
  30. On the recurrence property of Gaussian Taylor series.
    Hwang, J. S.
    Ann. Probability 4 (1976), no. 3, 453--455, MathSciNet.  
  31. Alternatives to Taylor's Theorem in Proving Analyticity (in Classroom Notes)  
    J. A. Eidswick  
    American Mathematical Monthly, Vol. 82, No. 9. (Nov., 1975), pp. 929-931, Jstor.  
  32. On Taylor series absolutely convergent on the circumference of the circle of convergence. III.
    Halász, G.
    Acta Math. Acad. Sci. Hungar. 25 (1974), 81--87, MathSciNet.  
  33. A contrast between complex and real-valued Taylor series.
    Abian, Alexander
    J. Austral. Math. Soc. 18 (1974), 458--460, MathSciNet.  
  34. Taylor's Formula and the Existence of nth Derivatives (in Mathematical Notes)  
    P. R. Beesack  
    American Mathematical Monthly, Vol. 74, No. 8. (Oct., 1967), pp. 980-986, Jstor.
  35. On the Convergence of Taylor Series for Functions of n Variables  
    James Thomas Day  
    Mathematics Magazine, Vol. 40, No. 5. (Nov., 1967), pp. 258-260, Jstor.  
  36. Taylor's Formula with Derivative Remainder (in Classroom Notes)  
    Alfred J. Maria  
    American Mathematical Monthly, Vol. 73, No. 1. (Jan., 1966), pp. 67-68, Jstor.
  37. A General Form of the Remainder in Taylor's Theorem (in Classroom Notes)  
    P. R. Beesack  
    American Mathematical Monthly, Vol. 73, No. 1. (Jan., 1966), pp. 64-67, Jstor.
  38. On Extensions of Taylor's Formula (in Mathematical Notes)  
    T. V. Lakshminarasimhan  
    American Mathematical Monthly, Vol. 72, No. 8. (Oct., 1965), pp. 877-881, Jstor.
  39. Expansion of Analytic Functions in Infinite Series and Infinite Products with Application to Multiple Valued Functions  
    Alexander Arcache  
    American Mathematical Monthly, Vol. 72, No. 8. (Oct., 1965), pp. 861-864, Jstor.  
  40. Generalized Taylor Series and Orders and Types of Entire Functions of Several Complex Variables  
    Fred Gross  
    Transactions of the American Mathematical Society, Vol. 120, No. 1. (Oct., 1965), pp. 124-144, Jstor.  
  41. An Extension of Taylor's Formula (in Mathematical Notes)  
    Dwight B. Goodner  
    American Mathematical Monthly, Vol. 70, No. 3. (Mar., 1963), pp. 303-306, Jstor.
  42. A Variant of Taylor's Theorem (in Classroom Notes)  
    W. R. Ballard, A. E. Livingston, W. M. Myers, Jr.  
    American Mathematical Monthly, Vol. 70, No. 8. (Oct., 1963), pp. 865-868, Jstor.
  43. An Algorithm of J. Schur and the Taylor Series  
    E. H. Connell; P. Porcelli  
    Proceedings of the American Mathematical Society, Vol. 13, No. 2. (Apr., 1962), pp. 232-235, Jstor.  
  44. Remainder Formulae in Taylor's Theorem (in Classroom Notes)  
    William J. Firey  
    American Mathematical Monthly, Vol. 67, No. 9. (Nov., 1960), pp. 903-905, Jstor.
  45. On Taylor's Theorem With Remainder (in Mathematical Notes)  
    P. H. Diananda  
    American Mathematical Monthly, Vol. 64, No. 7. (Aug. - Sep., 1957), pp. 492-495, Jstor.
  46. Mean Value Theorems and Taylor Series (in Teaching of Mathematics)  
    M. R. Spiegel  
    Mathematics Magazine, Vol. 29, No. 5. (May - Jun., 1956), pp. 263-266, Jstor.  
  47. A Theorem of the Taylor Expansion (in Classroom Notes)  
    C. S. Ogilvy  
    American Mathematical Monthly, Vol. 62, No. 9. (Nov., 1955), p. 654, Jstor.
  48. A Proof of Taylor's Formula (in Classroom Notes)  
    James Wolfe  
    American Mathematical Monthly, Vol. 60, No. 6. (Jun. - Jul., 1953), p. 415, Jstor.
  49. A Theorem on the Remainder of a Taylor Series (in Classroom Notes)  
    G. Rudinger  
    American Mathematical Monthly, Vol. 57, No. 6. (Jun. - Jul., 1950), pp. 411-412, Jstor.  
  50. A Generalization of Taylor's Expansion  
    P. M. Hummel, C. L. Seebeck, Jr.  
    American Mathematical Monthly, Vol. 56, No. 4. (Apr., 1949), pp. 243-247, Jstor.
  51. On the probability that a Taylor series admits an analytic continuation. (Spanish)
    Ríos, Sixto
    Revista Mat. Hisp.-Amer. (4) 6, (1946). 174--176, MathSciNet.  
  52. Taylor's series and approximation to analytic functions.
    Walsh, J. L.
    Bull. Amer. Math. Soc. 52, (1946). 572--579, MathSciNet.  
  53. On Taylor series with, or without, analytic continuation.
    Vigil, Luis
    The present state of Borel's theorem. (Spanish) Revista Mat. Hisp.-Amer. (4) 3, (1943). 208--218, MathSciNet.  
  54. On Taylor series with, or without, analytic continuation.
    Vigil, Luis
    The present state of Borel's theorem. (Spanish) Revista Mat. Hisp.-Amer. (4) 3, (1943). 137--144, MathSciNet.  
  55. Expansions of Analytic Functions  
    R. P. Boas, Jr  
    Transactions of the American Mathematical Society, Vol. 48, No. 3. (Nov., 1940), pp. 467-487, Jstor.  
  56. On Simultaneous Expansions of Analytic Functions in Composite Power Series  
    A. C. Burdette  
    American Journal of Mathematics, Vol. 61, No. 2. (Apr., 1939), pp. 295-302, Jstor.  
  57. Expansion of Analytic Functions into Infinite Products  
    S. Borofsky  
    The Annals of Mathematics, 2nd Ser., Vol. 32, No. 1. (Jan., 1931), pp. 23-36, Jstor.  
  58. Note on the Expansion of Analytic Functions in Series of Polynomials and in Series of Other Analytic Functions  
    J. L. Walsh  
    Transactions of the American Mathematical Society, Vol. 31, No. 1. (Jan., 1929), pp. 53-57, Jstor.  
  59. On the Expansion of Analytic Functions of the Complex Variable in Generalized Taylor's Series
    D. V. Widder
    Transactions of the American Mathematical Society, Vol. 31, No. 1. (Jan., 1929), pp. 43-52, Jstor.  
  60. On Taylor's Series Admitting the Circle of Convergence as a Singular Curve  
    J. J. Gergen; D. V. Widder  
    American Journal of Mathematics, Vol. 50, No. 1. (Jan., 1928), pp. 139-146, Jstor.  
  61. A Generalization of Taylor's Series  
    D. V. Widder  
    Transactions of the American Mathematical Society, Vol. 30, No. 1. (Jan., 1928), pp. 126-154, Jstor.
  62. On a Criterion of Pringsheim's for Expansibility in Taylor's Series  
    M. B. Porter  
    The Annals of Mathematics, 2nd Ser., Vol. 8, No. 1. (Oct., 1906), pp. 45-48, Jstor.  

 

 

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