Generating function for \(q\)-Eulerian polynomials and their decomposition and applications

DOI10.1186/1687-1812-2013-72zbMath1284.05041OpenAlexW2151016483WikidataQ59293332 ScholiaQ59293332MaRDI QIDQ2444813

Yilmaz Simsek, Mustafa Alkan

Publication date: 11 April 2014

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2013-72

zbMATH Keywords

\(q\)-seriesgenerating functionEuler numbers\(q\)-Frobenius-Euler polynomialsFrobenius-Euler numbersFrobenius-Euler polynomialscharacter \(\chi\) of the finite abelian groups \(G\)

Mathematics Subject Classification ID

Umbral calculus (05A40) Bernoulli and Euler numbers and polynomials (11B68) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80)

Related Items (7)

Fourier expansion and integral representation generalized Apostol-type Frobenius-Euler polynomials ⋮ SOME PROPERTIES OF DEGENERATED EULER POLYNOMIALS OF THE SECOND KIND USING DEGENERATED ALTERNATIVE POWER SUM ⋮ Character sums over generalized Lehmer numbers ⋮ Computational and implementational analysis of generating functions for higher order combinatorial numbers and polynomials attached to Dirichlet characters ⋮ A numerical investigation on the structure of the zeros of Euler polynomials ⋮ Unnamed Item ⋮ The actions on the generating functions for the family of the generalized Bernoulli polynomials

Cites Work

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