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Harmonic functions associated with some polynomials in several variables. (English) Zbl 1424.33026

Summary: The aim of this paper is to give various properties of homogeneous operators associated with Chan-Chyan-Srivastava polynomials and, by using these results, to obtain harmonic functions by applying Laplace and ultrahyperbolic operators to the Chan-Chyan-Srivastava polynomials.

MSC:

33C55 Spherical harmonics
33C47 Other special orthogonal polynomials and functions
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