New families of special numbers and polynomials arising from applications of \( p\)-adic \( q\)-integrals

DOI10.1186/s13662-017-1273-4zbMath1422.11044OpenAlexW2738479927WikidataQ59515191 ScholiaQ59515191MaRDI QIDQ1631972

Yilmaz Simsek, Ahmet Yardimci, Hacer Ozden Ayna, Daeyeoul Kim

Publication date: 7 December 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-017-1273-4

zbMATH Keywords

generating functionsStirling numbersFrobenius-Euler numbersApostol-Bernoulli numbers and polynomialsDaehee numbers

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Combinatorial identities, bijective combinatorics (05A19) Bernoulli and Euler numbers and polynomials (11B68) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Special sequences and polynomials (11B83)

Related Items (5)

Identities and recurrence relations of special numbers and polynomials of higher order by analysis of their generating functions ⋮ On a doubly degenerate parabolic equation with a nonlinear damping term ⋮ On the stability of a non-Newtonian polytropic filtration equation ⋮ Some identities for Carlitz type \(q\)-Daehee polynomials ⋮ Radon-Nikodym theorem with respect to \((\rho,q)\)-measure on \(\mathbb Z_p\)

Cites Work

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• A note on Boole polynomials
• Korobov polynomials of the first kind

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