An extension of generalized Apostol-Euler polynomials

DOI10.1186/1687-1847-2013-61zbMath1380.11013OpenAlexW2043176608WikidataQ59293275 ScholiaQ59293275MaRDI QIDQ1693492

Qiu-Ming Luo, Yi Cai, Si Chen

Publication date: 31 January 2018

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

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-61

zbMATH Keywords

generating functionsJacobi polynomialsHermite polynomialsLaguerre polynomialsStirling numbers of the second kindBernoulli, Euler and Genocchi polynomialsgeneralized Apostol-Euler and Apostol-Bernoulli polynomials

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Bernoulli and Euler numbers and polynomials (11B68) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (5)

Existence criterion for the solutions of fractional order \(p\)-Laplacian boundary value problems ⋮ About extensions of generalized Apostol-type polynomials ⋮ A new formula of products of the Apostol-Bernoulli and Apostol-Euler polynomials ⋮ Certain results for the 2-variable Apostol type and related polynomials ⋮ Modified Apostol-Euler numbers and polynomials of higher order

Cites Work

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• Some relationships between the generalized Apostol–Bernoulli polynomials and Hurwitz–Lerch Zeta functions
• The multiplication formulas for the Apostol–Bernoulli and Apostol–Euler polynomials of higher order
• Some formulas for Apostol-Euler polynomials associated with Hurwitz zeta function at rational arguments
• A generalization of the Hurwitz - Lerch Zeta function

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