New indefinite integrals of confluent Heun functions
Classical Analysis and ODEs
2018-10-29 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We obtain some new formulae to compute the first derivative of confluent and biconfluent Heun functions under the minimal assumption of fixing only one parameter. These results together with the Lagrangian formulation of a general homogeneous linear ordinary differential equation allow to construct several new indefinite integrals for the confluent, biconfluent, doubly confluent, and triconfluent Heun functions.
Cite
@article{arxiv.1810.05906,
title = {New indefinite integrals of confluent Heun functions},
author = {Davide Batic and Omar Forrest and Marek Nowakowski},
journal= {arXiv preprint arXiv:1810.05906},
year = {2018}
}
Comments
12. arXiv admin note: text overlap with arXiv:1807.07781