Integrals for asymptotic expansions of hypergeometric functions
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- by L. J. Slater PDF
- Proc. Amer. Math. Soc. 6 (1955), 226-231 Request permission
References
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E. W. Barnes, The asymptotic expansions of integral functions defined by generalised hypergeometric series, Proc. London Math. Soc. (2) vol. 5 (1907) pp. 59-116.
- C. S. Meijer, On the $G$-function. I, Nederl. Akad. Wetensch., Proc. 49 (1946), 227–237 = Indagationes Math. 8, 124–134 (1946). MR 17452
- L. J. Slater, An integral of hypergeometric type, Proc. Cambridge Philos. Soc. 48 (1952), 578–582. MR 50720, DOI 10.1017/s0305004100076349 G. N. Watson, The continuation of functions defined by generalised hypergeometric series, Trans. Cambridge Philos. Soc. vol. 21 (1910) pp. 281-299. E. M. Wright, The asymptotic expansion of the generalised hypergeometric functions, J. London Math. Soc. vol. 10 (1935) pp. 286-293.
Additional Information
- © Copyright 1955 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 6 (1955), 226-231
- MSC: Primary 33.0X
- DOI: https://doi.org/10.1090/S0002-9939-1955-0069952-9
- MathSciNet review: 0069952