Chebyshev polynomials of generating functions by Weisner method.

This paper attempts to obtain generating functions for the polynomials defined by Chebyshev denoted as Tn (x) (Special Ultra Spherical Polynomials of the first kind) using Weisner's group-theoretic method by interpreting 'n' suitably. It is possible to derive at least three generating relations for various special functions of mathematical physics using this method introduced by Louis Weisner. In approximation theory, the roots (nodes) of Tn (x) are used as matching points for optimizing polynomial interpolation. Chebyshev polynomials are also used in many models to study them elegantly, including filters in signal processing distributed networks. [ABSTRACT FROM AUTHOR]