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

DOI10.22436/jnsa.010.05.46zbMath1412.11042OpenAlexW4251456005MaRDI QIDQ4631172

Gwan-Woo Jang, Lee-Chae Jang, Taekyun Kim, 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.010.05.46

zbMATH Keywords

Fourier seriesBernoulli polynomialsBernoulli functions

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (5)

Fourier series of higher-order Daehee and Changhee functions and their applications ⋮ Sums of finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials ⋮ Sums of finite products of Genocchi functions ⋮ Sums of finite products of Chebyshev polynomials of the third and fourth kinds ⋮ Fourier series for functions related to Chebyshev polynomials of the first kind and Lucas polynomials

Cites Work

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• Higher recurrences for Apostol-Bernoulli-Euler numbers
• Bernoulli basis and the product of several Bernoulli polynomials
• Some new identities on the Bernoulli and Euler numbers
• \(q\)-Bernoulli numbers and polynomials associated with Gaussian binomial coefficients
• A relation between Bernoulli numbers
• On Miki's identity for Bernoulli numbers
• Hodge integrals and Gromov-Witten theory
• Bernoulli number identities from quantum field theory and topological string theory
• 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
• AN APPLICATION OF p-ADIC CONVOLUTIONS
• ON SOME RELATIONS BETWEEN BERNOULLI NUMBERS AND CLASS NUMBERS OF CYCLOTOMIC FIELDS

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