A note on some identities involving special functions from the hypergeometric solution of algebraic equations
Classical Analysis and ODEs
2022-02-25 v2
Abstract
From the algebraic solution of for and the corresponding solution in terms of hypergeometric functions, we obtain a set of reduction formulas for hypergeometric functions. By differentiation and integration of these results, and applying other known reduction formulas of hypergeometric functions, we derive new reduction formulas of special functions as well as the calculation of some infinite integrals in terms of elementary functions.
Cite
@article{arxiv.2008.03524,
title = {A note on some identities involving special functions from the hypergeometric solution of algebraic equations},
author = {J. L. González-Santander},
journal= {arXiv preprint arXiv:2008.03524},
year = {2022}
}