2025/06/11 by Reynolds, Robert
#33-01 #33-03 #33-04 #FOS: Mathematics #General Mathematics (math.GM) #Primary 30E20
paper · doi:10.48550/arxiv.2506.19867
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.