Srivastava: A note on certain generating functions for the classical polynomials

Srivastava, Hari M.:
A note on certain generating functions for the classical polynomials
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Serie 8 63 (1977), fasc. n.5, p. 328-333, (English)
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L'Autore prova che alcuni risultati sulle funzioni generatrici ottenuti da O. Shanker [«J. Australian Math. Soc.», 15 (1973), 389-392] sono equivalenti ad altri noti risultati. Si provano alcune generalizzazioni e la loro applicazione a famiglie polinomiali di Bessel, Brafman, Gegenbauer, Hermite, Jacobi e Laguerre.

Referenze Bibliografiche

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[9] O. SHANKER (1973) - On generating functions for classical polynomials, «J. Austral. Math. Soc.», 15, 389-392. | MR 326026 | Zbl 0276.33025

[10] H. M. SRIVASTAVA (1971) - A class of generating functions for generalized hypergeometric polynomials, «J. Math. Anal. Appl.», 35, 230-235. | fulltext (doi) | MR 277776 | Zbl 0212.40901

[11] H. M. SRIVASTAVA and R. G. BUSCHMAN (1975) - Some polynomials defined by generating relations, «Trans. Amer. Math. Soc.», 205, 360-370; see also Addendum, ibid., 226 (1977), 393-394. | fulltext (doi) | MR 430365

[12] D. ZEITLIN (1970) — A new class of generating functions for hypergeometric polynomials, «Proc. Amer. Math. Soc.», 25, 405-412. | fulltext (doi) | MR 264123 | Zbl 0192.41501

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Referenze Bibliografiche