Remark on some integrals involving products of Whittaker functions
Abstract: It is observed that the literature contains erroneous formulas for infinite integrals involving the product of two Whittaker functions. For instance, the main result, involving Meijer's -function, of K. L. Arora and S. K. Kulshreshtha's paper in these Proceedings and all its particular cases may be cited.
-  K. L. Arora and K. Kulshreshtha, An infinite integral involving Meijer 𝐺-function, Proc. Amer. Math. Soc. 26 (1970), 121–125. MR 0261045, https://doi.org/10.1090/S0002-9939-1970-0261045-9
-  L. J. Slater, Confluent hypergeometric functions, Cambridge University Press, New York, 1960. MR 0107026
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Keywords: Infinite integral, Whittaker functions, Meijer's -function, gamma function, asymptotic expansions, special functions
Article copyright: © Copyright 1972 American Mathematical Society