Some extensions of Bateman's product formulas for the Jacobi polynomials

[摘要] 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.

[学科分类] 应用数学