Research Article
Year 2014,
Volume: 43 Issue: 5, 731 - 740, 01.10.2014
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.
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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There are 1 citations in total.
Details
| Primary Language | English |
|---|---|
| Journal Section | Mathematics |
| Authors | |
| Publication Date | October 1, 2014 |
| Published in Issue | Year 2014 Volume: 43 Issue: 5 |