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

DOI10.4064/CM8893-5-2023zbMath1527.33013arXiv2203.10025OpenAlexW4386488782MaRDI QIDQ6086118

Piotr Graczyk, Patrice Sawyer

Publication date: 9 November 2023

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.10025

zbMATH Keywords

root systemspherical functionOpdam-Cherednik hypergeometric function

Mathematics Subject Classification ID

Differential geometry of symmetric spaces (53C35) Harmonic analysis and spherical functions (43A90) Hypergeometric functions associated with root systems (33C67)

Cites Work

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• NIST digital library of mathematical functions
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• Sharp estimates of radial Dunkl and heat kernels in the complex case \(A_n\)
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• Asymptotics of Harish-Chandra expansions, bounded hypergeometric functions associated with root systems, and applications
• Opdam's hypergeometric functions: product formula and convolution structure in dimension 1
• Uniform asymptotic expansions for hypergeometric functions with large parameters IV
• Spherical functions on symmetric cones
• An Introduction to Dunkl Theory and Its Analytic Aspects
• Potential kernels for radial Dunkl Laplacians
• Paley–Wiener theorems for the Dunkl transform
• Sharp estimates for \(W\)-invariant Dunkl and heat kernels in the \(A_n\) case

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