Generalized-hypergeometric solutions of the general Fuchsian linear ODE having five regular singularities
General Mathematics
2019-09-18 v1
Abstract
We show that a Fuchsian differential equation having five regular singular points admits solutions in terms of a single generalized hypergeometric function for infinitely many particular choices of equation parameters. Each solution assumes four restrictions imposed on the parameters: two of the singularities should have non-zero integer characteristic exponents and the accessory parameters should obey polynomial equations.
Cite
@article{arxiv.1909.07794,
title = {Generalized-hypergeometric solutions of the general Fuchsian linear ODE having five regular singularities},
author = {A. Ishkhanyan and C. Cesarano},
journal= {arXiv preprint arXiv:1909.07794},
year = {2019}
}