IJPAM: Volume 63, No. 2 (2010)
Department of Mathematical Sciences
University of Liverpool
P.O. Box 147, Liverpool, L69 3BX, U.K.
Abstract.The binomial expansion of is used to derive families of generating functions for the four kinds of Chebyshev polynomials.
Received: July 2, 2010
AMS Subject Classification: 42C05
Key Words and Phrases: Chebyshev polynomials, orthogonal polynomials, generating functions
Source: International Journal of Pure and Applied Mathematics