A unified presentation of certain classical polynomials

Srivastava, H. M.; Singhal, J. P.

doi:10.1090/S0025-5718-1972-0313560-7

A unified presentation of certain classical polynomials
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by H. M. Srivastava and J. P. Singhal PDF

Math. Comp. 26 (1972), 969-975 Request permission

Abstract:

This paper attempts to present a unified treatment of the classical orthogonal polynomials, viz. Jacobi, Laguerre and Hermite polynomials, and their generalizations introduced from time to time. The results obtained here include a number of linear, bilinear and bilateral generating functions and operational formulas for the polynomials $\{ T_n^{(\alpha ,\beta )}(x,a,b,c,d,p,r)|n = 0,1,2, \cdots \}$, defined by Eq. (3) below.*

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Orthogonal Polynomials

1