Generalized Chebyshev polynomials

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Hacettepe Journal of Mathematics and Statistics
Volume:43 Issue:5
Generalized Chebyshev polynomials

Generalized Chebyshev polynomials

Authors : Clemente CESARANO

Pages : 731-740

View : 55 | Download : 15

Publication Date : 2014-10-01

Article Type : Research Paper

Abstract :We generalize the first and second kind Chebyshev polynomials by using the concepts and the operational formalism of the Hermite polynomials of the Kampé de Fériet type. We will see how it is possible to derive integral representations for these generalized Chebyshev polynomials. Finally we will use these results to state several relations for Gegenbauer polynomials.
Keywords : Two variable Chebyshev and Gegenbauer polynomials, Generating functions, Integral representations

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