Hobson's formula for Dunkl operators and its applications
Classical Analysis and ODEs
2018-04-05 v1
Abstract
We generalize classical Hobson's formula concerning partial derivatives of radial functions on a Euclidean space to a formula in the Dunkl analysis. As applications we give new simple proofs of known results involving Maxwell's representation of harmonic polynomials, Bochner-Hecke identity, Pizzetti formula for spherical mean, and Rodrigues formula for Hermite polynomials.
Cite
@article{arxiv.1804.01311,
title = {Hobson's formula for Dunkl operators and its applications},
author = {Nobukazu Shimeno},
journal= {arXiv preprint arXiv:1804.01311},
year = {2018}
}