On the \(q\)-extension of Apostol-Euler numbers and polynomials

DOI10.1155/2008/296159zbMath1247.11028OpenAlexW2113221414WikidataQ58644315 ScholiaQ58644315MaRDI QIDQ1008557

Young-Hee Kim, Lee-Chae Jang, Won-Joo Kim

Publication date: 30 March 2009

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2008/296159

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Bernoulli and Euler numbers and polynomials (11B68) Zeta functions and (L)-functions (11S40) Hurwitz and Lerch zeta functions (11M35)

Related Items

Modification and unification of the Apostol-type numbers and polynomials and their applications, Elliptic extensions of the Apostol-Bernoulli and Apostol-Euler polynomials, Some generalizations of the Apostol-Genocchi polynomials and the Stirling numbers of the second kind, A unified presentation of the generating functions of the generalized Bernoulli, Euler and Genocchi polynomials, Generating functions for generalized Stirling type numbers, array type polynomials, Eulerian type polynomials and their applications, Some new generalizations and applications of the Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials, A unified presentation of three families of generalized Apostol type polynomials based upon the theory of the umbral calculus and the umbral algebra, Some identities of symmetry for the generalized Bernoulli numbers and polynomials, Symmetric identities of Hermite-Bernoulli polynomials and Hermite-Bernoulli numbers attached to a Dirichlet character \(\chi\), Sine and cosine types of generating functions

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