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.*References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Math. Comp. 26 (1972), 969-975
- MSC: Primary 33A65
- DOI: https://doi.org/10.1090/S0025-5718-1972-0313560-7
- MathSciNet review: 0313560