Remarks on a Class of Combinatorial Numbers and Polynomials

Basit Öğe Kaydı
dc.contributor.authorKucukoglu, Irem
dc.date.accessioned2026-01-24T12:20:43Z
dc.date.available2026-01-24T12:20:43Z
dc.date.issued2023
dc.departmentAlanya Alaaddin Keykubat Üniversitesi
dc.descriptionInternational Conference on Numerical Analysis and Applied Mathematics 2021, ICNAAM 2021 -- 2021-09-20 through 2021-09-26 -- Rhodes -- 192641
dc.description.abstractIn this paper, by using the theory of quantum calculus, we introduce a class of combinatorial numbers and polynomials. In particular, the class of q-combinatorial numbers introduced in this work is a q-analogue of the combinatorial numbers recently defined b y Simsek [9]. We also construct a formula f or t he generating f unctions o f these q -combinatorial n umbers i n terms of q-exponential functions. Furthermore, applying q-derivative, we analyze some properties of these q-combinatorial numbers and their generating functions. As a result of this analysis, we give a few remarks related to our findings. Finally, we conclude the paper with a brief observation on our results. © 2023 American Institute of Physics Inc.. All rights reserved.
dc.description.sponsorship(2021-02-08-MAP01)
dc.identifier.doi10.1063/5.0162056
dc.identifier.isbn9780735446496
dc.identifier.isbn9780735452794
dc.identifier.isbn9780735451889
dc.identifier.isbn9780735450301
dc.identifier.isbn9780735441088
dc.identifier.isbn9780735403598
dc.identifier.isbn9780735444577
dc.identifier.isbn9780735443594
dc.identifier.isbn9780735448001
dc.identifier.isbn9780735416437
dc.identifier.issn0094-243X
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85176810085
dc.identifier.scopusqualityQ4
dc.identifier.urihttps://doi.org/10.1063/5.0162056
dc.identifier.urihttps://hdl.handle.net/20.500.12868/4527
dc.identifier.volume2849
dc.indekslendigikaynakScopus
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/closedAccess
dc.snmzKA_Scopus_20260121
dc.subjectBinomial coefficients
dc.subjectCombinatorial numbers
dc.subjectCombinatorial sums
dc.subjectFactorials
dc.subjectFinite sums
dc.subjectGenerating functions
dc.subjectpolynomials
dc.subjectq-calculus
dc.subjectq-Stirling numbers of the second kind
dc.subjectSpecial numbers
dc.titleRemarks on a Class of Combinatorial Numbers and Polynomials
dc.typeConference Object

Dosyalar

Koleksiyon

Scopus İndeksli Yayınlar Koleksiyonu