New indefinite integrals of Heun functions
Classical Analysis and ODEs
2018-07-24 v1 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
We present a conspicuous number of indefinite integrals involving Heun functions and their products obtained by means of the Lagrangian formulation of a general homogeneous linear ordinary differential equation. As a by-product we also derive new indefinite integrals involving the Gauss hypergeometric function and products of hypergeometric functions with elliptic functions of the first kind. All integrals we obtained cannot be computed using Maple and Mathematica.
Cite
@article{arxiv.1807.07781,
title = {New indefinite integrals of Heun functions},
author = {Davide Batic and Omar Forrest and Marek Nowakowski},
journal= {arXiv preprint arXiv:1807.07781},
year = {2018}
}
Comments
8 pages