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

DOI10.1186/s13660-020-02413-wzbMath1503.11051OpenAlexW3033802655MaRDI QIDQ2069465

Yanyan Li

Publication date: 20 January 2022

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

Full work available at URL: https://doi.org/10.1186/s13660-020-02413-w

zbMATH Keywords

bosonic \(p\)-adic \(q\)-integralsymmetry group of degree \(n\)type \(2 q\)-Bernoulli numbers

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) (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)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(q\)-Volkenborn integration
• Identities of symmetry for degenerate Euler polynomials and alternating generalized falling factorial sums
• \(q\)-Bernoulli and Euler numbers of higher order
• Analytic continuation of multiple \(q\)-zeta functions and their values at negative integers
• A family of \(p\)-adic twisted interpolation functions associated with the modified Bernoulli numbers
• Symmetry of power sum polynomials and multivariate fermionic \(p\)-adic invariant integral on \(\mathbb Z_p\)
• On a \(q\)-analogue of the \(p\)-adic log gamma functions and related integrals
• Some \(p\)-adic integrals on \(\mathbb{Z}_p\) associated with trigonometric functions
• A note on type \(2 q\)-Bernoulli and type \(2 q\)-Euler polynomials
• On symmetric identities of Carlitz's type \(q\)-Daehee polynomials
• A note on type 2 Changhee and Daehee polynomials
• Symmetric properties of Carlitz's type \(q\)-Changhee polynomials
• Identities of symmetry for type 2 Bernoulli and Euler polynomials
• Some symmetric identities involving a sequence of polynomials
• \(q\)-Bernoulli numbers and polynomials
• Some identities of degenerate q -Euler polynomials under the symmetry group of degree n
• Some identities of symmetry for q-Bernoulli polynomials under symmetric group of degree n
• Complete sum of products of (h,q)-extension of Euler polynomials and numbers
• ON EXPLICIT FORMULAS OF p-ADIC q-L-FUNCTIONS
• Symmetry identites for generalized twisted Euler polynomials twisted by ramified roots of unity
• Bernoulli Numbers and Zeta Functions
• q-Bernoulli and Eulerian Numbers