• A STUDY OF GENERALIZATION OF DOUBLE RIEMANN ZETA FUNCTION

Kantesh Gupta*, Alpana Gupta

Abstract


In the present paper, we introduce and investigate a new generalized double zeta function which is a generalization of Hurwitz-Lerch zeta function and includes their various particular cases. We study its recurrence relations, integral representations, fractional derivatives and series expansion also.

Keywords


Riemann zeta function, Hurwitz-Lerch zeta function, double zeta function, Gauss hypergeometric function

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