On the functional properties of the confluent hypergeometric zeta-function |
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Authors: | Takumi Noda |
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Affiliation: | 1.College of Engineering,Nihon University,K?riyama,Japan |
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Abstract: | A zeta-function associated with Kummer’s confluent hypergeometric function is introduced as a classical Dirichlet series. An integral representation, a transformation formula, and relation formulas between contiguous functions and one generalization of Ramanujan’s formula are given. The inverse Laplace transform of confluent hypergeometric functions is essentially used to derive the integral representation. |
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