Analysis of higher-order peters-type combinatorial numbers and polynomials by their generating functions and p-adic integration

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dc.contributor.authorKüçükoğlu, İrem
dc.date.accessioned2021-02-19T21:20:51Z
dc.date.available2021-02-19T21:20:51Z
dc.date.issued2020
dc.departmentALKÜ
dc.descriptionInternational Conference on Numerical Analysis and Applied Mathematics 2019, ICNAAM 2019 -- 23 September 2019 through 28 September 2019----165330
dc.description.abstractThe aim of this paper is to analyze higher-order Peters-type combinatorial numbers and polynomials by means of their generating functions and p-adic integration. By using generating functions we first obtain a combinatorial identity containing not only these numbers and polynomials, but also the Stirling numbers of the first kind, the falling factorial and binomial coefficients. Secondly, by implementation of p-adic integration into the combinatorial sum representation of higher-order Peters-type combinatorial polynomials which includes falling factorial function, we provide both bosonic and fermionic p-adic integral representations of these numbers and polynomials. © 2020 American Institute of Physics Inc.. All rights reserved.
dc.description.sponsorshipA part of this paper was presented at the International Symposium on Advanced Engineering Technologies (ISADET 2019) held in Kahramanmaras, Turkey on May 2-4, 2019.
dc.identifier.doi10.1063/5.0026414
dc.identifier.isbn9780735440258
dc.identifier.issn0094-243X
dc.identifier.scopusqualityQ4
dc.identifier.urihttps://doi.org/10.1063/5.0026414
dc.identifier.urihttps://hdl.handle.net/20.500.12868/734
dc.identifier.volume2293en_US
dc.indekslendigikaynakScopus
dc.institutionauthorKucukoglu, I.
dc.language.isoen
dc.publisherAmerican Institute of Physics Inc.
dc.relation.ispartofAIP Conference Proceedings
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectCombinatorial numbers and polynomials
dc.subjectCombinatorial sum
dc.subjectDaehee and Changhee numbers
dc.subjectGenerating function
dc.subjectP-adic integral
dc.subjectPeters polynomials
dc.subjectStirling numbers of the first kind
dc.titleAnalysis of higher-order peters-type combinatorial numbers and polynomials by their generating functions and p-adic integration
dc.typeConference Object

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