A note on type \(2 q\)-Bernoulli and type \(2 q\)-Euler polynomials

DOI10.1186/S13660-019-2131-6zbMath1485.11044OpenAlexW2955588938MaRDI QIDQ2067933

Taekyun Kim, Dae San Kim, Han Young Kim, JongKyum Kwon

Publication date: 19 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-019-2131-6

zbMATH Keywords

\(p\)-adic \(q\)-integralpower sums of consecutive positive odd \(q\)-integerstype \(2 q\)-Bernoulli polynomialstype \(2 q\)-Euler polynomials

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Bernoulli and Euler numbers and polynomials (11B68) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80)

Related Items (1)

Some identities of type \(2 q\)-Bernoulli polynomials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the modified \(q\)-Euler polynomials with weight
• \(q\)-Volkenborn integration
• Analytic continuation of multiple \(q\)-zeta functions and their values at negative integers
• Multivariate interpolation functions of higher-order \(q\)-Euler numbers and their applications
• A note on type 2 Changhee and Daehee polynomials
• \(q\)-Bernoulli numbers and polynomials
• Complete sum of products of (h,q)-extension of Euler polynomials and numbers
• ON THE ALTERNATING SUMS OF POWERS OF CONSECUTIVE q-INTEGERS
• q-Euler numbers and polynomials associated with p-adic q-integrals
• ON EXPLICIT FORMULAS OF p-ADIC q-L-FUNCTIONS
• q-Bernoulli and Eulerian Numbers

This page was built for publication: A note on type \(2 q\)-Bernoulli and type \(2 q\)-Euler polynomials