Generalized Chebyshev polynomials

Year 2014, Volume: 43 Issue: 5 , 731 - 740 , 01.10.2014

Clemente Cesarano

https://izlik.org/JA29XJ43BY

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

References

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