On the distribution of the \(q\)-Euler polynomials and the \(q\)-Genocchi polynomials of higher order

DOI10.1155/2008/723615zbMath1165.33015OpenAlexW2133249655WikidataQ59216543 ScholiaQ59216543MaRDI QIDQ1008466

Taekyun Kim, Lee-Chae Jang

Publication date: 30 March 2009

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

Full work available at URL: https://eudml.org/doc/130343

zbMATH Keywords

generating functionsBernoulli numbers\(p\)-adic numbersEuler numbers\(q\)-distribution\(q\)-Euler and \(q\)-Genocchi polynomials

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Binomial coefficients; factorials; (q)-identities (11B65) Bernoulli and Euler numbers and polynomials (11B68) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80)

Related Items

Some generalizations of the Apostol-Genocchi polynomials and the Stirling numbers of the second kind ⋮ Some series identities involving the generalized Apostol type and related polynomials ⋮ Some results for Apostol-type polynomials associated with umbral algebra ⋮ Some new generalizations and applications of the Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials ⋮ Some unified formulas and representations for the Apostol-type polynomials ⋮ Some families of Genocchi type polynomials and their interpolation functions ⋮ Sine and cosine types of generating functions

Cites Work

• Multiple \(p\)-adic \(L\)-function
• On the analogs of Euler numbers and polynomials associated with \(p\)-adic \(q\)-integral on \(\mathbb Z_{p}\) at \(q= - 1\)
• Some \(q\)-extensions of the Apostol-Bernoulli and the Apostol-Euler polynomials of order \(n\), and the multiple Hurwitz zeta function
• Multivariate interpolation functions of higher-order \(q\)-Euler numbers and their applications
• Remarks on sum of products of \((h,q)\)-twisted Euler polynomials and numbers
• On \(p\)-adic interpolating function for \(q\)-Euler numbers and its derivatives
• \(q\)-Bernoulli numbers and polynomials
• q-Euler numbers and polynomials associated with p-adic q-integrals
• New approach to the complete sum of products of the twisted (h, q)-Bernoulli numbers and polynomials