Some identities of Korobov-type polynomials associated with \(p\)-adic integrals on \(\mathbb{Z}_{p}\)

DOI10.1186/s13662-015-0602-8zbMath1346.11023OpenAlexW1946231950WikidataQ59429150 ScholiaQ59429150MaRDI QIDQ738485

Dae San Kim, Taekyun Kim

Publication date: 2 September 2016

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

Full work available at URL: https://doi.org/10.1186/s13662-015-0602-8

zbMATH Keywords

\(p\)-adic integral\(\lambda\)-Changhee and Korobov mixed-type polynomialKorobov and \(\lambda\)-Changhee mixed-type polynomialKorobov-type polynomial

Mathematics Subject Classification ID

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 (7)

ON THE (p, q)-POLY-KOROBOV POLYNOMIALS AND RELATED POLYNOMIALS ⋮ A NOTE ON q-ANALOGUE OF CATALAN NUMBERS ASSOCIATED WITH q-CHANGHEE NUMBERS ⋮ On $p$-adic integral for generalized degenerate Hermite-Bernoulli polynomials attached to $\chi$ of higher order ⋮ Identities for Korobov-type polynomials arising from functional equations and p-adic integrals ⋮ Unnamed Item ⋮ On the Korobov and Changhee mixed-type polynomials and numbers ⋮ Notes on the Poly-Korobov polynomials and related polynomials

Cites Work

• On the twisted Daehee polynomials with \(q\)-parameter
• Some identities of Barnes-type special polynomials
• New approach to \(q\)-Euler polynomials of higher order
• A study on the \(p\)-adic integral representation on \(\mathbb Z_p\) associated with Bernstein and Bernoulli polynomials
• On the extended kim's \(p\)-adic \(q\)-deformed fermionic integrals in the \(p\)-adic integer ring
• The construction of good extensible Korobov rules
• Symmetry of power sum polynomials and multivariate fermionic \(p\)-adic invariant integral on \(\mathbb Z_p\)
• Barnes-type degenerate Euler polynomials
• On some properties of Korobov polynomials
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Some identities of Korobov-type polynomials associated with \(p\)-adic integrals on \(\mathbb{Z}_{p}\)