Displaying similar documents to “The truncated exponential polynomials, the associated Hermite forms and applications.”

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.

On Hermite-Hermite matrix polynomials

M. S. Metwally, M. T. Mohamed, A. Shehata (2008)

Mathematica Bohemica

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In this paper the definition of Hermite-Hermite matrix polynomials is introduced starting from the Hermite matrix polynomials. An explicit representation, a matrix recurrence relation for the Hermite-Hermite matrix polynomials are given and differential equations satisfied by them is presented. A new expansion of the matrix exponential for a wide class of matrices in terms of Hermite-Hermite matrix polynomials is proposed.