Fourier series of sums of products of ordered Bell and poly-Bernoulli functions

DOI10.1186/s13660-017-1359-2zbMath1360.11045OpenAlexW2606849371WikidataQ42290320 ScholiaQ42290320MaRDI QIDQ524803

Yong-Cai Geng, Sumit K. Garg

Publication date: 3 May 2017

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-017-1359-2

zbMATH Keywords

Fourier seriesordered Bell functionpoly-Bernoulli function

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Special sequences and polynomials (11B83) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (8)

Fourier series of higher-order Daehee and Changhee functions and their applications ⋮ Fourier series of finite products of Bernoulli and Genocchi functions ⋮ New families of special numbers and polynomials arising from applications of \( p\)-adic \( q\)-integrals ⋮ A second type of higher order generalized geometric polynomials and higher order generalized Euler polynomials ⋮ Series of sums of products of higher-order Bernoulli functions ⋮ Construction of Fourier expansion of Apostol Frobenius-Euler polynomials and its applications ⋮ A combinatorial analysis of higher order generalised geometric polynomials: a generalisation of barred preferential arrangements ⋮ Fourier series of finite product of Bernoulli and ordered Bell functions

Cites Work

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• Fully degenerate poly-Bernoulli numbers and polynomials
• Fourier series of higher-order Bernoulli functions and their applications
• Cayley permutations
• A note on degenerate poly-Bernoulli numbers and polynomials
• A note on poly-Bernoulli and higher-order poly-Bernoulli polynomials
• Multiple polylogarithms and multi-poly-Bernoulli polynomials
• A note on degenerate Hermite poly-Bernoulli numbers and polynomials
• Fourier series of sums of products of Genocchi functions and their applications
• Combinatorics of Set Partitions
• Higher-order Bernoulli and poly-Bernoulli mixed type polynomials
• Fully degenerate poly-Bernoulli polynomials with a q parameter
• A SURVEY OF FACTORIZATION COUNTING FUNCTIONS

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