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Displaying similar documents to “Asymptotic analysis of the Askey-scheme I: from Krawtchouk to Charlier”

Derivation of the Hille-Hardy type formulae and operational methods

Giuseppe Dattoli (2003)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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The Hille-Hardy formula is a bilinear generating function, involving products of Laguerre polynomials. We use the point of view, developed in previous publications, to propose an operational method which allows a fairly direct derivation of this kind of formulae.