Sharp estimates for the hypergeometric functions related to root systems of type $A$ and of rank 1
Classical Analysis and ODEs
2022-03-21 v1 Representation Theory
Abstract
In this article, we conjecture exact estimates for the Weyl-invariant Opdam-Cherednik hypergeometric functions. We prove the conjecture for the root system and for all rank 1 cases. We provide other evidence that the conjecture might be true in general.
Keywords
Cite
@article{arxiv.2203.10025,
title = {Sharp estimates for the hypergeometric functions related to root systems of type $A$ and of rank 1},
author = {Piotr Graczyk and Patrice Sawyer},
journal= {arXiv preprint arXiv:2203.10025},
year = {2022}
}