Applications of umbral calculus associated with \(p\)-adic invariant integrals on \(\mathbb Z_p\)

DOI10.1155/2012/865721zbMath1261.11077OpenAlexW2045921085WikidataQ58696994 ScholiaQ58696994MaRDI QIDQ1938317

Dae San Kim, Taekyun Kim

Publication date: 4 February 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/865721

Mathematics Subject Classification ID

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

Related Items (4)

On poly-Bernoulli polynomials of the second kind with umbral calculus viewpoint ⋮ Umbral calculus and Sheffer sequences of polynomials ⋮ On an analogue of Euler polynomials and related to extended fermionic \(p\)-adic integrals on \( \mathbb{Z}_{p} \) ⋮ On the extended kim's \(p\)-adic \(q\)-deformed fermionic integrals in the \(p\)-adic integer ring

Cites Work

• Special functions related to Dedekind-type DC-sums and their applications
• An identity of the symmetry for the Frobenius-Euler polynomials associated with the fermionic \(p\)-adic invariant \(q\)-integrals on \({\mathbf Z}_p\)
• \(q\)-Volkenborn integration
• Some identities on the twisted \((h,q)\)-Genocchi numbers and polynomials associated with \(q\)-Bernstein polynomials
• Symmetryp-adic invariant integral on ℤ_pfor Bernoulli and Euler polynomials
• AN APPLICATION OF p-ADIC CONVOLUTIONS
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