IJPAM: Volume 63, No. 2 (2010)
Department of Mathematical Sciences
University of Liverpool
P.O. Box 147, Liverpool, L69 3BX, U.K.
e-mail: [email protected]
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