Extended \(p\)-adic \(q\)-invariant integrals on \(\mathbb{Z}_p\) associated with applications of umbral calculus

DOI10.1186/1687-1847-2013-96zbMath1380.05003OpenAlexW2166223445WikidataQ59292943 ScholiaQ59292943MaRDI QIDQ1693549

Serkan Araci, Mehmet Acikgoz, Adem Kilicman

Publication date: 31 January 2018

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

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-96

zbMATH Keywords

formal power seriesBernoulli numbers and polynomialsAppell sequenceSheffer sequence\(p\)-adic \(q\)-integral on \(\mathbb Z_p\)

Mathematics Subject Classification ID

Umbral calculus (05A40) Bell and Stirling numbers (11B73) Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Bernoulli and Euler numbers and polynomials (11B68)

Related Items (10)

Degenerate poly-Cauchy polynomials with a \(q\) parameter ⋮ On the von Staudt-Clausen's theorem associated with \(q\)-Genocchi numbers ⋮ Fully degenerate poly-Bernoulli numbers and polynomials ⋮ On the type 2 poly-Bernoulli polynomials associated with umbral calculus ⋮ Degenerate Sheffer sequences and \(\lambda \)-Sheffer sequences ⋮ \(q\)-Bernoulli polynomials and \(q\)-umbral calculus ⋮ A novel approach for obtaining new identities for the lambda extension of q-Euler polynomials arising from the q-umbral calculus ⋮ On the extended kim's \(p\)-adic \(q\)-deformed fermionic integrals in the \(p\)-adic integer ring ⋮ On the von Staudt-Clausen's theorem related to \(q\)-Frobenius-Euler numbers ⋮ Some applications of degenerate poly-Bernoulli numbers and polynomials

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