A note on the Hurwitz-Lerch zeta function

2025/09/03 by Reynolds, Robert
#Cauchy integral #FOS: Mathematics #Lerch zeta function

paper · doi:10.71712/mryc-b928

Abstract

In this work we derive a functional equation in terms of the Hurwitz-Lerch zeta function along with de nite 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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