Open AccessDouble Integral of Logarithm and Exponential Function Expressed in terms of the Lerch Function
Author(s) -
Robert Reynolds,
A D Stauffer
Publication year - 2021
Publication title -
european journal of pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.245
H-Index - 5
ISSN - 1307-5543
DOI - 10.29020/nybg.ejpam.v14i4.4022
Subject(s) - mathematics , logarithm , bessel function , exponential integral , exponential function , function (biology) , elementary function , pure mathematics , mathematical analysis , integral equation , volume integral , evolutionary biology , biology
This paper contains new explicit computations of some integrals containing elementary functions, such as powers, logarithms, exponentials. In this work the authors use their contour integral method to derive a double integral connected to the modified Bessel function of the second kind $K_{\nu}(z)$ and express it in terms of the Lerch function. A table of integral pairs is given for interested readers. The majority of the results in this work are new.