Higher-Order Convolutions for Apostol-Bernoulli, Apostol-Euler and Apostol- Genocchi Polynomials

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dc.contributor.authorHe, Yuan
dc.contributor.authorAraci, Serkan
dc.contributor.authorSrivastava, H.M.
dc.contributor.authorAbdel-Aty, Mahmoud
dc.date.accessioned2019-01-24T17:54:34Z
dc.date.available2019-01-24T17:54:34Z
dc.date.copyright2018en_US
dc.date.issued2018-12
dc.description.abstractIn this paper, we present a systematic and unified investigation for the Apostol-Bernoulli polynomials, the Apostol-Euler polynomials and the Apostol-Genocchi polynomials. By applying the generating-function methods and summation-transform techniques, we establish some higher-order convolutions for the Apostol-Bernoulli polynomials, the Apostol-Euler polynomials and the Apostol-Genocchi polynomials. Some results presented here are the corresponding extensions of several known formulas.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.description.sponsorshipDr. Serkan Araci was supported by the Research Fund of Hasan Kalyoncu University in 2018.en_US
dc.identifier.citationHe, Y., Araci, S., Srivastava, H.M. & Abdel-Aty, M. (2018). Higher-Order Convolutions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi Polynomials. Mathematics, 6(12), 329. https://doi.org/10.3390/math6120329en_US
dc.identifier.urihttps://doi.org/10.3390/math6120329
dc.identifier.urihttp://hdl.handle.net/1828/10539
dc.language.isoenen_US
dc.publisherMathematicsen_US
dc.subjectApostol-Bernoulli polynomials
dc.subjectApostol-Euler polynomials
dc.subjectApostol-Genocchi polynomials
dc.subjectconvolution identities
dc.subjectstirling numbers of the first and second kind
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleHigher-Order Convolutions for Apostol-Bernoulli, Apostol-Euler and Apostol- Genocchi Polynomialsen_US
dc.typeArticleen_US

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