Clemente CESARANO

2920

Generalized Chebyshev polynomials

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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Hacettepe Journal of Mathematics and Statistics-Cover
  • Yayın Aralığı: Yılda 6 Sayı
  • Başlangıç: 2002
  • Yayıncı: Hacettepe Üniversitesi Fen Fakultesi
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