Integral representation for Jacobi polynomials and application to heat kernel on quantized sphere
Mathematical Physics
2020-02-21 v1 Classical Analysis and ODEs
math.MP
Spectral Theory
Abstract
We derive a novel integral representations of Jacobi polynomials in terms of the Gauss hypergeometric function. Such representation is then used to give the explicit integral representation for the Heat kernel on the quantized Riemann sphere.
Cite
@article{arxiv.2002.08615,
title = {Integral representation for Jacobi polynomials and application to heat kernel on quantized sphere},
author = {Ali Hafoud and Allal Ghanmi},
journal= {arXiv preprint arXiv:2002.08615},
year = {2020}
}
Comments
8 pages