Operational formulae for the complex Hermite polynomials

2012/11/25 by Allal Ghanmi, Ghanmi, Allal
Mathematics · Physics and Astronomy · #Mathematical functions and polynomials #Nonlinear Waves and Solitons #Advanced Mathematical Identities

paper · pdf · doi:10.48550/arxiv.1211.5746

Abstract

We give operational formulae of Burchnall type involving complex Hermite polynomials. Short proofs of some known formulae are given and new results involving these polynomials, including Nielsen's identities and Runge addition formula, are derived.

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