Note on \(q\)-Nasybullin's lemma associated with the modified \(p\)-adic \(q\)-Euler measure

DOI10.1155/2010/482717zbMath1207.11117OpenAlexW2081738830WikidataQ59249933 ScholiaQ59249933MaRDI QIDQ978429

Taekyun Kim, Lee-Chae Jang, Young-Hee Kim, Byungje Lee, Seong-Hoon Rim

Publication date: 24 June 2010

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

Full work available at URL: https://doi.org/10.1155/2010/482717

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Special functions in characteristic (p) (gamma functions, etc.) (33E50) Other nonanalytic theory (11S85) Applications of basic hypergeometric functions (33D90)

Cites Work

• \(q\)-Volkenborn integration
• Non-Archimedean \(q\)-integrals associated with multiple Changhee \(q\)-Bernoulli polynomials
• Power series and asymptotic series associated with the \(q\)-analog of the two-variable \(p\)-adic \(L\)-function
• \(q\)-generalized Euler numbers and polynomials
• A note on \(p\)-adic Euler measure on \(\mathbb Z_p\)
• On certain \(q\)-Durrmeyer type operators
• Note on the Euler \(q\)-zeta functions
• \(q\)-Bernoulli numbers and polynomials associated with Gaussian binomial coefficients
• 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
• On Euler-Barnes multiple zeta functions
• \(q\)-Bernoulli numbers and polynomials
• Twisted Dedekind Type Sums Associated with Barnes' Type Multiple Frobenius-Euler l-Functions
• The p-adic generalized twisted (h,q)-euler-l-function and its applications
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item