A relation between the Mordell-Tornheim multiple Dirichlet series and the confluent hypergeometric function

2022/10/24 by Yuichiro Toma, Toma, Yuichiro
Mathematics · #Advanced Mathematical Identities #Analytic and geometric function theory #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.2210.13033

Abstract

We investigate a relation between the Mordell-Tornheim type of multiple Dirichlet series and a confluent hypergeometric function. We prove it by applying the Mellin-Barnes integral formula. Also, main results in this paper contain two kinds of functional equations for double L-functions as a special case.

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