Identities for Korobov-type polynomials arising from functional equations and p-adic integrals

DOI10.22436/jnsa.010.05.43zbMath1412.11048OpenAlexW2618093038MaRDI QIDQ4631168

Ahmet Yardimci, Yilmaz Simsek

Publication date: 24 April 2019

Published in: The Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jnsa.010.05.43

zbMATH Keywords

generating functionsfunctional equationStirling numbersLah numbersBernoulli numbers and polynomialsEuler numbers and polynomials\(p\)-adic integralApostol-Daehee numbersChanghee numbers and polynomialsKorobov polynomialsDaehee numbers and polynomials

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)

Related Items (2)

Some identities of degenerate Daehee numbers arising from nonlinear differential equation ⋮ Notes on the Poly-Korobov polynomials and related polynomials

Cites Work

• Some identities of degenerate special polynomials
• Convolution identities for Cauchy numbers
• \(q\)-Volkenborn integration
• Some identities of Korobov-type polynomials associated with \(p\)-adic integrals on \(\mathbb{Z}_{p}\)
• \(q\)-Bernoulli numbers and polynomials associated with multiple \(q\)-zeta functions and basic \(L\)-series
• On the \(q\)-extension of Euler and Genocchi numbers
• On the analogs of Euler numbers and polynomials associated with \(p\)-adic \(q\)-integral on \(\mathbb Z_{p}\) at \(q= - 1\)
• On \(p\)-adic \(q\)-\(l\)-functions and sums of powers
• Some \(q\)-Bernoulli numbers of higher order associated with the \(p\)-adic \(q\)-integrals
• Applications on the Apostol-Daehee numbers and polynomials associated with special numbers, polynomials, and \(p\)-adic integrals
• An invariant \(p\)-adic \(q\)-integral on \(\mathbb Z _p\)
• Computation methods for combinatorial sums and Euler-type numbers related to new families of numbers
• An Invariant P -Adic Integral Associated with Daehee Numbers
• Analysis of the p-adic q-Volkenborn integrals: An approach to generalized Apostol-type special numbers and polynomials and their applications
• Korobov polynomials of the first kind
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