About extensions of generalized Apostol-type polynomials

DOI10.1007/s00025-014-0430-2zbMath1335.11014OpenAlexW1985064356MaRDI QIDQ498385

Pedro Hernández-Llanos, Alejandro Urieles, Yamilet del Carmen Quintana Mato

Publication date: 28 September 2015

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-014-0430-2

zbMATH Keywords

Stirling numbers of second kindApostol-Bernoulli polynomials of higher orderApostol-Euler polynomials of higher orderApostol-Genocchi polynomials of higher ordergeneralized Apostol-type polynomials

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Bernoulli and Euler numbers and polynomials (11B68) Elementary classical functions (33B99)

Related Items (8)

On an operational matrix method based on generalized Bernoulli polynomials of level \(m\) ⋮ An extended generalized \(q\)-extensions for the Apostol type polynomials ⋮ Explicit expressions for higher order binomial convolutions of numerical sequences ⋮ On the density arising from the domain of attraction of an operator interpolating between sum and supremum: the \(\alpha\)-sun operator ⋮ Generalized Mixed Type Bernoulli-Gegenbauer Polynomials ⋮ Unnamed Item ⋮ New results on the \(q\)-generalized Bernoulli polynomials of level \(m\) ⋮ Existence and reduction of generalized Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials

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