Some polynomials defined by generating relations

Srivastava, H. M.; Buschman, R. G.

doi:10.1090/S0002-9947-1975-0369770-5

Some polynomials defined by generating relations
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by H. M. Srivastava and R. G. Buschman PDF

Trans. Amer. Math. Soc. 205 (1975), 360-370 Request permission

Addendum: Trans. Amer. Math. Soc. 226 (1977), 393-394.

Abstract:

In an attempt to present a unified treatment of the various polynomial systems introduced from time to time, new generating functions are given for the sets of polynomials $\{ S_{n,q}^{(\alpha ,\beta )}(\lambda ;x)\}$ and $\{ T_{n,q}^{(\alpha ,\beta )}(\lambda ;x)\}$, defined respectively by (6) and (29) below, and for their natural generalizations in several complex variables. This paper also indicates relevant connections of the results derived here with different classes of generating relations which have appeared recently in the literature.

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