arXiv:2203.10025 Abstract | arXiv Analytics

arXiv:2203.10025 [math.CA]Abstract References Reviews Resources

Sharp estimates for the hypergeometric functions related to root systems of type $A$ and of rank 1

Published 2022-03-18Version 1

In this article, we conjecture exact estimates for the Weyl-invariant Opdam-Cherednik hypergeometric functions. We prove the conjecture for the root system $A_n$ and for all rank 1 cases. We provide other evidence that the conjecture might be true in general.

Categories: math.CA, math.RT

Subjects: 33C67, 31B05, 53C35, 33C05

Keywords: root system, sharp estimates, weyl-invariant opdam-cherednik hypergeometric functions, conjecture exact estimates

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