Construction method for generating functions of special numbers and polynomials arising from analysis of new operators

DOI10.1002/mma.5207OpenAlexW2886111847MaRDI QIDQ4557128

Yilmaz Simsek

Publication date: 29 November 2018

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.5207

zbMATH Keywords

generating functiondifferential equationStirling numbersfunctional equationsFourier seriesBernoulli polynomials and numberscentral factorial numbersApostol-Bernoulli polynomials and numbersApostol-Euler polynomials and numberscombinatorial sumLagrange inversion formula operators

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Bernoulli and Euler numbers and polynomials (11B68) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Linear composition operators (47B33) Fourier series and coefficients in several variables (42B05) Linear difference operators (47B39) Real-valued functions in general topology (54C30) Real polynomials: analytic properties, etc. (26C05) Numerical methods for difference and functional equations, recurrence relations (65Qxx)

Related Items (5)

On type 2 degenerate Bernoulli and Euler polynomials of complex variable ⋮ Representations by degenerate Bernoulli polynomials arising from Volkenborn integral ⋮ New family of special numbers associated with finite operator ⋮ Some certain classes of combinatorial numbers and polynomials attached to Dirichlet characters: their construction by \(p\)-adic integration and applications to probability distribution functions ⋮ Stirling-Dunkl numbers

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