A generalization of the Hurwitz—Lerch Zeta function

The main object of this paper is to introduce and investigate a mutiple Hurwitz–Lerch Zeta function n(z, s, a), which generalizes the Hurwitz–Lerch Zeta function (z, s, a).We present several interesting properties of this multiple Hurwitz–Lerch Zeta function n(z, s, a), and show how nicely certain classes of series associated with n(z, s, a) can be evaluated by starting with an easily-derivable single identity for n(z, s, a). Relevant connections of some special cases of the results presented here with those obtained in earlier works are also indicated precisely.

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