✦ LIBER ✦

An extended general Hurwitz–Lerch zeta function as a Mathieu -series

✍ Scribed by Dragana Jankov; Tibor Pogány; Ram K. Saxena

Publisher: Elsevier Science
Year: 2011
Tongue: English
Weight: 254 KB
Volume: 24
Category: Article
ISSN: 0893-9659
DOI: 10.1016/j.aml.2011.03.040

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✦ Synopsis

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