Fourier expansion of periodic U-Bernoulli, U-Euler and U-Genocchi functions and their relation with the Riemann zeta function

Alejandro Urieles; Snaider Berdugo; María José Ortega; Cesarano Clemente; Praveen Agarwal

doi:10.69624/2222-5498.2024.2.72

Fourier expansion of periodic U-Bernoulli, U-Euler and U-Genocchi functions and their relation with the Riemann zeta function

Alejandro Urieles
, Snaider Berdugo
, María José Ortega
, Cesarano Clemente
, Praveen Agarwal

Nonlinear Dynamic Research Centre (NDRC)

Universidad del Atlántico
Universidad de la Costa
International Telematic University Uninettuno
International College of Engineering

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

Fourier series and generating function theory is an active branch of modern analysis that has gained importance due to its applications in methods of analysis for mathematical solutions to boundary value problems, engineering, and signal processing in communications. On the other hand, the Riemann zeta function and its generalizations are useful in the investigation of analytic number theory and allied disciplines, especially in the role played by their special values in integral arguments (see [4, 14]).

Original language	English
Pages (from-to)	72-92
Number of pages	21
Journal	Journal of Contemporary Applied Mathematics
Volume	14
Issue number	2
DOIs	https://doi.org/10.69624/2222-5498.2024.2.72
State	Published - 27 Dec 2024

Keywords

Fourier expansion
Integral representation
New U-Bernoulli polynomials
New U-Euler polynomials
New UGenocchi polynomials
Riemann zeta function

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10.69624/2222-5498.2024.2.72

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keywords = "Fourier expansion, Integral representation, New U-Bernoulli polynomials, New U-Euler polynomials, New UGenocchi polynomials, Riemann zeta function",

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AU - Urieles, Alejandro

AU - Berdugo, Snaider

AU - Ortega, María José

AU - Clemente, Cesarano

AU - Agarwal, Praveen

PY - 2024/12/27

Y1 - 2024/12/27

N2 - Fourier series and generating function theory is an active branch of modern analysis that has gained importance due to its applications in methods of analysis for mathematical solutions to boundary value problems, engineering, and signal processing in communications. On the other hand, the Riemann zeta function and its generalizations are useful in the investigation of analytic number theory and allied disciplines, especially in the role played by their special values in integral arguments (see [4, 14]).

AB - Fourier series and generating function theory is an active branch of modern analysis that has gained importance due to its applications in methods of analysis for mathematical solutions to boundary value problems, engineering, and signal processing in communications. On the other hand, the Riemann zeta function and its generalizations are useful in the investigation of analytic number theory and allied disciplines, especially in the role played by their special values in integral arguments (see [4, 14]).

KW - Fourier expansion

KW - Integral representation

KW - New U-Bernoulli polynomials

KW - New U-Euler polynomials

KW - New UGenocchi polynomials

KW - Riemann zeta function

UR - https://www.scopus.com/pages/publications/85215390768

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ER -

Fourier expansion of periodic U-Bernoulli, U-Euler and U-Genocchi functions and their relation with the Riemann zeta function

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Keywords

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