Fourier series of sums of products of Genocchi functions and their applications

DOI10.22436/jnsa.010.04.31zbMath1412.11041OpenAlexW2610378623MaRDI QIDQ4631044

Gwan-Woo Jang, Taekyun Kim, JongKyum Kwon, Dae San Kim

Publication date: 24 April 2019

Published in: The Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jnsa.010.04.31

zbMATH Keywords

Fourier seriesGenocchi polynomialsGenocchi functions

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Bernoulli and Euler numbers and polynomials (11B68) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (9)

Fourier series of finite products of Bernoulli and Genocchi functions ⋮ Representations by degenerate Daehee polynomials ⋮ Fourier series of functions involving higher-order ordered Bell polynomials ⋮ Series of sums of products of higher-order Bernoulli functions ⋮ Representations by degenerate Bernoulli polynomials arising from Volkenborn integral ⋮ Representing polynomials by degenerate Bernoulli polynomials ⋮ Construction of Fourier expansion of Apostol Frobenius-Euler polynomials and its applications ⋮ Fourier series of sums of products of ordered Bell and poly-Bernoulli functions ⋮ Fourier series of finite product of Bernoulli and ordered Bell functions

Cites Work

• Unnamed Item
• Unnamed Item
• Identities involving values of Bernstein, \(q\)-Bernoulli, and \(q\)-Euler polynomials
• Higher recurrences for Apostol-Bernoulli-Euler numbers
• Euler basis, identities, and their applications
• Bernoulli basis and the product of several Bernoulli polynomials
• Fourier series of higher-order Bernoulli functions and their applications
• Extensions of the Genocchi polynomials and their Fourier expansions and integral representations
• On the \(q\)-extension of Euler and Genocchi numbers
• Euler numbers and polynomials associated with zeta functions
• On the multiple \(q\)-Genocchi and Euler numbers
• Hodge integrals and Gromov-Witten theory
• Identities arising from higher-order Daehee polynomial bases
• Bernoulli number identities from quantum field theory and topological string theory
• A note on the \(q\)-Genocchi numbers and polynomials
• A note on higher-order Bernoulli polynomials
• Some identities of higher order Euler polynomials arising from Euler basis
• Some Identities for the Bernoulli, the Euler and the Genocchi Numbers and Polynomials
• Note on the Euler Numbers and Polynomials
• AN APPLICATION OF p-ADIC CONVOLUTIONS

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