A Note on the Truncated-Exponential Based Apostol-Type Polynomials

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dc.contributor.authorSrivastava, H.M.
dc.contributor.authorAraci, Serkan
dc.contributor.authorKhan, Waseem A.
dc.contributor.authorAcikgöz, Mehmet
dc.date.accessioned2019-05-03T12:40:34Z
dc.date.available2019-05-03T12:40:34Z
dc.date.copyright2019en_US
dc.date.issued2019
dc.description.abstractn this paper, we propose to investigate the truncated-exponential-based Apostol-type polynomials and derive their various properties. In particular, we establish the operational correspondence between this new family of polynomials and the familiar Apostol-type polynomials. We also obtain some implicit summation formulas and symmetric identities by using their generating functions. The results, which we have derived here, provide generalizations of the corresponding known formulas including identities involving generalized Hermite-Bernoulli polynomials.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.identifier.citationSrivastava, H.M., Araci, S., Khan, W.A. & Acikgöz, M. (2019). A Note on the Truncated-Exponential Based Apostol-Type Polynomials. Symmetry, 11(4), 538. https://doi.org/10.3390/sym11040538en_US
dc.identifier.urihttp://dx.doi.org/10.3390/sym11040538
dc.identifier.urihttp://hdl.handle.net/1828/10841
dc.language.isoenen_US
dc.publisherSymmetryen_US
dc.subjecttruncated-exponential polynomials
dc.subjectmonomiality principle
dc.subjectgenerating functions
dc.subjectApostol-type polynomials and Apostol-type numbers
dc.subjectBernoulli, Euler and Genocchi polynomials
dc.subjectoperational methods
dc.subjectsummation formulas
dc.subjectsymmetric identities
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleA Note on the Truncated-Exponential Based Apostol-Type Polynomialsen_US
dc.typeArticleen_US

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