Heun's equation, generalized hypergeometric function and exceptional Jacobi polynomial
Classical Analysis and ODEs
2015-05-28 v3 Mathematical Physics
math.MP
Abstract
We study Heun's differential equation in the case that one of the singularities is apparent. In particular we conjecture a relationship with generalized hypergeometric differential equation and establish it in some cases. We apply our results to exceptional Jacobi polynomials.
Cite
@article{arxiv.1106.1543,
title = {Heun's equation, generalized hypergeometric function and exceptional Jacobi polynomial},
author = {Kouichi Takemura},
journal= {arXiv preprint arXiv:1106.1543},
year = {2015}
}
Comments
15 pages; validity of the conjecture was extended