A note on the \(q\)-Euler measures

DOI10.1155/2009/956910zbMath1193.11113OpenAlexW1555875796WikidataQ59248489 ScholiaQ59248489MaRDI QIDQ1034160

Taekyun Kim, Kyung-Won Hwang, Byungje Lee

Publication date: 11 November 2009

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

Full work available at URL: https://eudml.org/doc/45785

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Special functions in characteristic (p) (gamma functions, etc.) (33E50)

Cites Work

• \(q\)-Volkenborn integration
• Non-Archimedean \(q\)-integrals associated with multiple Changhee \(q\)-Bernoulli polynomials
• Analytic continuation of multiple \(q\)-zeta functions and their values at negative integers
• Power series and asymptotic series associated with the \(q\)-analog of the two-variable \(p\)-adic \(L\)-function
• \(q\)-Bernoulli numbers and polynomials associated with multiple \(q\)-zeta functions and basic \(L\)-series
• Multiple \(p\)-adic \(L\)-function
• \(q\)-generalized Euler numbers and polynomials
• On \(p\)-adic twisted \(q\)-\(L\)-functions related to generalized twisted Bernoulli numbers
• A note on \(p\)-adic Euler measure on \(\mathbb Z_p\)
• Multivariate interpolation functions of higher-order \(q\)-Euler numbers and their applications
• Euler numbers and polynomials associated with zeta functions
• Extended \(q\)-Euler numbers and polynomials associated with fermionic \(p\)-adic \(q\)-integral on \(\mathbb Z_{p}\)
• \(q\)-extension of the Euler formula and trigonometric functions
• \(q\)-Bernoulli numbers and polynomials associated with Gaussian binomial coefficients
• Multiple two-variable \(p\)-adic \(q\)-\(L\)-function and its behavior at \(s=0\)
• On the multiple \(q\)-Genocchi and Euler numbers
• On a \(q\)-analogue of the \(p\)-adic log gamma functions and related integrals
• On Euler-Barnes multiple zeta functions
• A Symmetry of Power Sum Polynomials and Bernoulli Numbers
• Symmetryp-adic invariant integral on ℤ_pfor Bernoulli and Euler polynomials
• q-Euler numbers and polynomials associated with p-adic q-integrals
• The p-adic generalized twisted (h,q)-euler-l-function and its applications
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