Construction of Fourier Series Expansion of Apostol-Frobenius-Type Tangent and Genocchi Polynomials

Authors

  • Roberto Bagsarsa Corcino Cebu Normal University https://orcid.org/0000-0003-1681-1804
  • Cristina Corcino Cebu Normal University
  • Karl Patrick Casas Cebu Normal University
  • Allan Roy Elnar Cebu Normal University
  • Gibson Maglasang Cebu Normal University

DOI:

https://doi.org/10.29020/nybg.ejpam.v16i2.4700

Keywords:

Cauchy residue theorem, Fourier series, Tangent polynomials, Bernoulli polynomials, Genocchi polynomials

Abstract

In this study, the Fourier series expansions of the Apostol-Frobenius type of Tangent and Genocchi polynomials of higher order are derived using the Cauchy residue theorem. Some novel and intriguing results are obtained by applying the Fourier series expansion of these types of polynomials.

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Published

2023-04-30

How to Cite

Corcino, R. B., Corcino, C., Casas, K. P., Elnar, A. R., & Maglasang, G. (2023). Construction of Fourier Series Expansion of Apostol-Frobenius-Type Tangent and Genocchi Polynomials. European Journal of Pure and Applied Mathematics, 16(2), 1005–1023. https://doi.org/10.29020/nybg.ejpam.v16i2.4700

Issue

Vol. 16 No. 2: (April 2023)

Section

Nonlinear Analysis

License

Copyright (c) 2023 European Journal of Pure and Applied Mathematics

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