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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.

 

An identity for simplifying certain generalized hypergeometric functions
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by Thomas J. Osler PDF
Math. Comp. 29 (1975), 888-893 Request permission

Abstract:

In this paper, an identity is proved in which certain generalized hypergeometric functions $_{NP}{F_{NQ + N - 1}}$ are expressed as a linear combination of N functions of the $_P{F_Q}$ type. Several special cases of this identity are studied. The inverse of this identity is also given.
References
  • B. C. Carlson, Some extensions of Lardner’s relations between $_{0}F_{3}$ and Bessel functions, SIAM J. Math. Anal. 1 (1970), 232–242. MR 259177, DOI 10.1137/0501021
  • A. ERDÉLYI ET AL., Higher Transcendental Functions. Vol. 1, McGraw-Hill, New York, 1953. MR 15, 419.
  • Thomas J. Lardner, Relations between $_{0}F_{3}$ and Bessel functions, SIAM Rev. 11 (1969), 69–72. MR 267146, DOI 10.1137/1011007
  • Y. L. LUKE, The Special Functions and Their Approximations. Vol. 1, Math. in Sci. and Engineering, vol. 53, Academic Press, New York, 1969. MR 39 #3039.
  • Thomas J. Osler, A further extension of the Leibniz rule to fractional derivatives and its relation to Parseval’s formula, SIAM J. Math. Anal. 3 (1972), 1–16. MR 323970, DOI 10.1137/0503001
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Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Math. Comp. 29 (1975), 888-893
  • MSC: Primary 33A30
  • DOI: https://doi.org/10.1090/S0025-5718-1975-0374510-3
  • MathSciNet review: 0374510