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arXiv · 1804.01311

Hobson's formula for Dunkl operators and its applications

Nobukazu Shimeno
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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.

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Nobukazu Shimeno. 2018-04-04. Hobson's formula for Dunkl operators and its applications. https://arxiv.org/abs/1804.01311

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