[HTML][HTML] An extended general Hurwitz–Lerch zeta function as a Mathieu (a, λ)-series
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.
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.
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.
Elsevier
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