Integrals in Gradshteyn and Ryzhik: Hyperbolic and trigonometric function
Classical Analysis and ODEs
2018-03-05 v1
Abstract
The well known table of Gradshteyn and Ryzhik contains indefinite and definite integrals of both elementary and special functions. We give proofs of several entries containing integrands with some combination of hyperbolic and trigonometric functions. In fact, we occasionally present an extension of such entries or else give alternative evaluations. We develop connections with special cases of special functions including the Hurwitz zeta function. Before concluding we mention new integrals coming from the investigation of certain elliptic functions.
Cite
@article{arxiv.1803.00632,
title = {Integrals in Gradshteyn and Ryzhik: Hyperbolic and trigonometric function},
author = {Mark W. Coffey},
journal= {arXiv preprint arXiv:1803.00632},
year = {2018}
}
Comments
23 pages, no figures