Infinite integrals in terms of series
Robert Reynolds
Published: 2025/6/11
Abstract
In this work we derive and evaluate some infinite integrals involving the product of a generalized logarithm and polynomial functions in the denominator. These integrals are expressed in terms of finite series involving the Hurwitz-Lerch zeta function. We produce special cases of these integrals in terms of other special functions and fundamental constants.