Generalized Chebyshev polynomials

Clemente Cesarano

EN

Generalized Chebyshev polynomials

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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Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Clemente Cesarano ^* This is me
Italy

Publication Date

October 1, 2014

Submission Date

September 1, 2012

Acceptance Date

September 26, 2013

Published in Issue

Year 2014 Volume: 43 Number: 5

IZ

https://izlik.org/JA29XJ43BY

Cite

RIS / Bibtex

APA

Cesarano, C. (2014). Generalized Chebyshev polynomials. Hacettepe Journal of Mathematics and Statistics, 43(5), 731-740. https://izlik.org/JA29XJ43BY

AMA

1.Cesarano C. Generalized Chebyshev polynomials. Hacettepe Journal of Mathematics and Statistics. 2014;43(5):731-740. https://izlik.org/JA29XJ43BY

Chicago

Cesarano, Clemente. 2014. “Generalized Chebyshev Polynomials”. Hacettepe Journal of Mathematics and Statistics 43 (5): 731-40. https://izlik.org/JA29XJ43BY.

EndNote

Cesarano C (October 1, 2014) Generalized Chebyshev polynomials. Hacettepe Journal of Mathematics and Statistics 43 5 731–740.

IEEE

[1]C. Cesarano, “Generalized Chebyshev polynomials”, Hacettepe Journal of Mathematics and Statistics, vol. 43, no. 5, pp. 731–740, Oct. 2014, [Online]. Available: https://izlik.org/JA29XJ43BY

ISNAD

Cesarano, Clemente. “Generalized Chebyshev Polynomials”. Hacettepe Journal of Mathematics and Statistics 43/5 (October 1, 2014): 731-740. https://izlik.org/JA29XJ43BY.

JAMA

1.Cesarano C. Generalized Chebyshev polynomials. Hacettepe Journal of Mathematics and Statistics. 2014;43:731–740.

MLA

Cesarano, Clemente. “Generalized Chebyshev Polynomials”. Hacettepe Journal of Mathematics and Statistics, vol. 43, no. 5, Oct. 2014, pp. 731-40, https://izlik.org/JA29XJ43BY.

Vancouver

1.Clemente Cesarano. Generalized Chebyshev polynomials. Hacettepe Journal of Mathematics and Statistics [Internet]. 2014 Oct. 1;43(5):731-40. Available from: https://izlik.org/JA29XJ43BY