Operational formulae for the complex Hermite polynomials

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.

11 pages. Typographical errors communicated to the author by Mourad Ismail are corrected in this version. Found in Integral Transforms and Special Functions 2013

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