On generating functions of classical polynomials-Reference-Cited by-同舟云学术

On generating functions of classical polynomials

Published:1974 Issue:1 Volume:46 Page:73-76
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Verma Arun

Abstract

An expansion of an arbitrary power series in terms of products of a power series and a polynomial p n ( α , β ) ( x ) p_n^{(\alpha ,\beta )}(x) (where α , β \alpha ,\beta are not necessarily independent of n n ) is given.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1974-046-01/S0002-9939-1974-0344537-7/S0002-9939-1974-0344537-7.pdf

Reference11 articles.

1. A class of hypergeometric polynomials;Al-Salam, Nadhla A.;Ann. Mat. Pura Appl. (4),1967

2. On zero type sets of Laguerre polynomials;Brown, J. W.;Duke Math. J.,1968

3. New generating functions for classical polynomials;Brown, J. W.;Proc. Amer. Math. Soc.,1969

4. Some generating functions for Laguerre polynomials;Carlitz, L.;Duke Math. J.,1968

5. Relations entre les polynomes de Jacobi, Laguerre et Hermite;Feldheim, Ervin;Acta Math.,1943

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