Hobson's formula for Dunkl operators and its applications |
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| Authors: | Nobukazu Shimeno |
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| Institution: | School of Science and Technology, Kwansei Gakuin University, Hyogo, Japan |
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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 generalized Hermite polynomials. |
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| Keywords: | Hobson's formula Dunkl operator Bochner–Hecke identity Pizzetti's formula |
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