Elsevier

Applied Mathematics Letters

Volume 24, Issue 8, August 2011, Pages 1473-1476
Applied Mathematics Letters

An extended general Hurwitz–Lerch zeta function as a Mathieu (a,λ)-series

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Abstract

It is shown that an integral representation for the extension of a general Hurwitz–Lerch zeta function recently obtained by Garg et al. (2008) [5] is a special case of the closed form integral expression for the Mathieu (a,λ)-series given by Pogány (2005) [1]. As an immediate consequence of the derived results, new integral expressions and related bilateral bounding inequalities are investigated.

Keywords

Extended general Hurwitz–Lerch zeta function
Mathieu (a,λ)-series
Bilateral bounding inequality

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