Certain results associated with the generalized Riemann zeta functions

Date

2010-01-14T00:59:15Z

Authors

Raina, R. K.
Srivastava, H.M.

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Abstract

In this paper we derive new (linear and bilateral) generating functions involving the Riemann zeta function (or the generalized zeta function). A connection with the Lambert transform is given, and a generalized Lambert transform is introduced. An inversion formula of this transform is obtained and its relationship with the generalized zeta function is also depicted.

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Keywords

Riemann zeta function, generating function, Hurwitz zeta function, Lambert transform, Laguerre polynomials, Gauss hypergeometric function, Mellin transform, generalized hypergeometric function, Mellin inversion theorem

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