On multiple Appell polynomials

Lee, D.

doi:10.1090/S0002-9939-2010-10648-2

On multiple Appell polynomials
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by D. W. Lee PDF

Proc. Amer. Math. Soc. 139 (2011), 2133-2141 Request permission

Abstract:

In this paper, we first define the multiple Appell polynomials and find several equivalent conditions for this class of polynomials. Then we give a characterization theorem that if multiple Appell polynomials are also multiple orthogonal, then they are the multiple Hermite polynomials.

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