Some extensions of Bateman's product formulas for the Jacobi polynomials. (1995)

• Record Type: Journal Article
• Authors: Chen, Ming-Po; Srivastava, H. M.
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 8:Number 4(1995)
• Page Start: 423
• Page End: 428
• Publication Date: 1995
• Subjects: product formulas -- Jacobi polynomials -- generating functions -- series inversion -- linearization formula -- Gaussian hypergeometric function -- hypergeometric identity -- quadratic transformation -- Appell functions -- polynomial expansions -- complex sequence -- Dixon's summation theorem -- Clausenian hypergeometric series -- polynomial identity -- reduction formula; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953395000396
• Languages: English
• ISSNs: 1048-9533

Abstract

Abstract : The authors derive generalizations of some remarkable product formulas of Harry Bateman (1882-1946) for the classical Jacobi polynomials. They also show how the results considered here would lead to various families of linear, bilinear, and bilateral generating functions for the Jacobi and related polynomials.