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A note on the Hurwitz-Lerch zeta function

Published 6 Nov 2024 in math.GM | (2411.04161v2)

Abstract: In this work we derive a functional equation in terms of the Hurwitz-Lerch zeta function along with definite integrals in terms of the incomplete gamma and Hurwitz-Lerch zeta functions. The method used in these derivations is contour integration. Special cases in terms of fundamental constants are produced.

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