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

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 Pogany (2005)  [1] . As an immediate consequence of the derived results, new integral expressions and related bilateral bounding inequalities are investigated.