Generalizations of Russell-style integrals
Classical Analysis and ODEs
2018-06-22 v1 Mathematical Physics
math.MP
Abstract
First some definite integrals of W. H. L. Russell, almost all with trigonometric function integrands, are derived, and many generalized. Then a list is given in Russell-style of generalizations of integral identities of Amdeberhan and Moll. We conclude with a brief and noncomprehensive description of directions for further investigation, including the significant generalization to elliptic functions.
Cite
@article{arxiv.1806.07962,
title = {Generalizations of Russell-style integrals},
author = {Mark W. Coffey},
journal= {arXiv preprint arXiv:1806.07962},
year = {2018}
}
Comments
13 pages, no figures