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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

A note on an expansion of hypergeometric functions of two variables
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by Arun Verma PDF
Math. Comp. 20 (1966), 413-417 Request permission
References
  • R. P. Agarwal, An extension of Meijerโ€™s $G$-function, Proc. Nat. Inst. Sci. India Part A 31 (1965), 536โ€“546 (1966). MR 204717
  • W. N. Bailey, "Some expansions in Bessel functions involving Appell functions ${F_4}$," Quart. J. Math. Oxford Ser., v. 6, 1935, pp. 233โ€“238.
  • T. W. Chaundy, Expansions of hypergeometric functions, Quart. J. Math. Oxford Ser. 13 (1942), 159โ€“171. MR 7819, DOI 10.1093/qmath/os-13.1.159
  • W. A. Al-Salam and L. Carlitz, Some functions associated with the Bessel functions, J. Math. Mech. 12 (1963), 911โ€“933. MR 0155020
  • C. Fox, "The expansion of hypergeometric function in terms of similar series," Proc. London Math. Soc., v. 26, 1927, pp. 201โ€“210.
  • Jerry L. Fields and Jet Wimp, Expansions of hypergeometric functions in hypergeometric functions, Math. Comp. 15 (1961), 390โ€“395. MR 125992, DOI 10.1090/S0025-5718-1961-0125992-3
  • C. S. Meijer, Expansion theorems for the $G$-function. I, Nederl. Akad. Wetensch. Proc. Ser. A. 55 = Indagationes Math. 14 (1952), 369โ€“379. MR 0051373
  • S. O. Rice, "On contour integrals for the product of Bessel functions," Quart. J. Math. Oxford Ser., v. 6, 1935, pp. 52โ€“64.
  • H. M. Srivastava, Some expansions in products of hypergeometric functions, Proc. Cambridge Philos. Soc. 62 (1966), 245โ€“247. MR 188501, DOI 10.1017/s0305004100039803
  • A. Verma, "A class of expansions of $G$-functions and the Laplace transform," Math. Comp., v. 19, 1965, pp. 661โ€“664. A. Verma, "Certain expansions involving generalised basic hypergeometric series," Math. Comp., v. 20, 1966, pp. 151โ€“157. A. Verma, "Expansions of hypergeometric functions of two variables," Collect. Math. (To appear.)
  • Jet Wimp and Yudell L. Luke, Expansion formulas for generalized hypergeometric functions, Rend. Circ. Mat. Palermo (2) 11 (1962), 351โ€“366. MR 166405, DOI 10.1007/BF02843879
Additional Information
  • © Copyright 1966 American Mathematical Society
  • Journal: Math. Comp. 20 (1966), 413-417
  • DOI: https://doi.org/10.1090/S0025-5718-66-99930-3