The Boole polynomials associated with the p-adic gamma function

DOI10.2298/PIM1920105DzbMath1478.11025OpenAlexW2946828473WikidataQ126631642 ScholiaQ126631642MaRDI QIDQ4985659

Ugur Duran, Mehmet Acikgoz

Publication date: 24 April 2021

Published in: Publications de l'Institut Math?matique (Belgrade) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/pim1920105d

zbMATH Keywords

\(p\)-adic numbersMahler expansion\(p\)-adic gamma functionStirling numbers of first kindBoole polynomials\(p\)-adic Euler constant

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Factorials, binomial coefficients, combinatorial functions (05A10) (q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Gamma, beta and polygamma functions (33B15) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80)

Cites Work

• A study on the new mixed-type polynomials related to Boole polynomials
• An Interpolation Series for Continuous Functions of a p-adic Variable.
• ON A p-ADIC INTERPOLATION FUNCTION FOR THE EULER NUMBERS AND ITS DERIVATIVES
• On (ρ,q)-Euler numbers and polynomials associated with (ρ,q)-Volkenborn integrals
• A note on Boole polynomials
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