C.R. Acad. Sc. Paris, 293, 1981, p. 517-520.

Dominique Foata and Volker Strehl

Une extension multilinéaire de la formule d'Erdélyi pour les produits de fonctions hypergéométriques confluentes

Abstract. The Hille-Hardy bilinear formula for products of Laguerre polynomials has been extended to the confluent hypergeometric functions by Erd?élyi. Here a multilinear version of the latter identity is proposed that is the analog for the Laguerre polynomials of the Kibble-Slepian formula for the Hermite polynomiais.

foata@unistra.fr

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