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Fourier Series for Functions Related to Chebyshev Polynomials of the First Kind and Lucas Polynomials

Author

Listed:
  • Taekyun Kim

    (Department of Mathematics, Kwangwoon University, Seoul 139-701, Korea
    These authors contributed equally to this work.)

  • Dae San Kim

    (Department of Mathematics, Sogang University, Seoul 121-742, Korea
    These authors contributed equally to this work.)

  • Lee-Chae Jang

    (Graduate School of Education, Konkuk University, Seoul 139-701, Korea
    These authors contributed equally to this work.)

  • Gwan-Woo Jang

    (Department of Mathematics, Kwangwoon University, Seoul 139-701, Korea
    These authors contributed equally to this work.)

Abstract

In this paper, we derive Fourier series expansions for functions related to sums of finite products of Chebyshev polynomials of the first kind and of Lucas polynomials. From the Fourier series expansions, we are able to express those two kinds of sums of finite products of polynomials as linear combinations of Bernoulli polynomials.

Suggested Citation

  • Taekyun Kim & Dae San Kim & Lee-Chae Jang & Gwan-Woo Jang, 2018. "Fourier Series for Functions Related to Chebyshev Polynomials of the First Kind and Lucas Polynomials," Mathematics, MDPI, vol. 6(12), pages 1-15, November.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:12:p:276-:d:185207
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    Cited by:

    1. Johnny Rodríguez-Maldonado & Cornelio Posadas-Castillo & Ernesto Zambrano-Serrano, 2022. "Alternative Method to Estimate the Fourier Expansions and Its Rate of Change," Mathematics, MDPI, vol. 10(20), pages 1-12, October.

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