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
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- 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
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