The Hermite polynomials and the Bessel functions from a general point of view.
Dattoli, G., Srivastava, H. M., Sacchetti, D. (2003)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “The truncated exponential polynomials, the associated Hermite forms and applications.”
The Hermite polynomials and the Bessel functions from a general point of view.
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 the unification of generalized Hermite and Laguerre polynomials.
J. P. Singhal, C. M. Joshi (1982)
Revista Matemática Hispanoamericana
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Mixed generating relations for polynomials related to Konhauser biorthogonal polynomials
Hussain, M.A., Singh, S.N. (1979)
Portugaliae mathematica
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Motzkin numbers, central trinomial coefficients and hybrid polynomials.
Blasiak, P., Dattoli, G., Horzela, A., Penson, K.A., Zhukovsky, K. (2008)
Journal of Integer Sequences [electronic only]
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Some generating functions of Laguerre polynomials.
Thakurta, Bidyut Kumar Guha (1987)
International Journal of Mathematics and Mathematical Sciences
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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.
A pair of biorthogonal polynomials for the Szegö-Hermite weight function.
Thakare, N.K., Madhekar, M.C. (1988)
International Journal of Mathematics and Mathematical Sciences
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