Abstract
In this paper, we derive a new contour integral representation for the confluent hypergeometric function as well as for its various special cases. Consequently, we derive expansions of the confluent hypergeometric function in terms of functions of the same kind. Furthermore, we obtain a new identity involving integrals and sums of confluent hypergeometric functions. Our results generalized several well-known results in the literature.
Subject
General Physics and Astronomy,General Engineering,General Mathematics
Cited by
3 articles.
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1. Some Fourier transforms involving confluent hypergeometric functions;Integral Transforms and Special Functions;2024-03-24
2. An exact integral-to-sum relation for products of Bessel functions;Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences;2021-09
3. Partial fraction expansion of the hypergeometric functions;Integral Transforms and Special Functions;2018-12-20