Advances in Applied Mathematics, 2 (1981), p. 250-259 .

Dominique Foata

Some Hermite Polynomial Identities and Their Combinatorics

Abstract. The multilinear extensions of the Mehler formula found by Kibble, Slepian and Louck are shown to be equivalent. They can all be proved by using the combinatorial set-up of involutionary graphs, and so thus the classical Doetsch identity.

foata@unistra.fr

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