New indefinite integrals of Heun functions

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 hypergeometr...

Full description

Saved in:
Bibliographic Details
Published in:Integral transforms and special functions 2018-10, Vol.29 (10), p.794-804
Main Authors: Batic, D., Forrest, O., Nowakowski, M.
Format: Article
Language:English
Subjects:
complete elliptic integrals
Differential equations
Elliptic functions
Heun functions
Hypergeometric functions
Integrals
Ordinary differential equations
Special functions
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:1065-2469
1476-8291
DOI:10.1080/10652469.2018.1499021