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

IF 0.4 4区数学 Q4 MATHEMATICS Colloquium Mathematicum Pub Date : 2022-03-18 DOI:10.4064/cm8893-5-2023

P. Graczyk, P. Sawyer

引用次数: 0

Abstract

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.

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类$A$和秩$1$根的超几何函数的尖锐估计

在本文中，我们推测了weyl不变Opdam-Cherednik超几何函数的精确估计。我们证明了根系统$A_n$和所有秩为1的情况下的猜想。我们提供了其他证据来证明这个猜想一般来说可能是正确的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Colloquium Mathematicum MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Colloquium Mathematicum is a journal devoted to the publication of original papers of moderate length addressed to a broad mathematical audience. It publishes results of original research, interesting new proofs of important theorems and research-expository papers in all fields of pure mathematics. Two issues constitute a volume, and at least four volumes are published each year.

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