Remarks on a Class of Combinatorial Numbers and Polynomials
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Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
American Institute of Physics Inc.
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In 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.
Açıklama
International Conference on Numerical Analysis and Applied Mathematics 2021, ICNAAM 2021 -- 2021-09-20 through 2021-09-26 -- Rhodes -- 192641
Anahtar Kelimeler
Binomial coefficients, Combinatorial numbers, Combinatorial sums, Factorials, Finite sums, Generating functions, polynomials, q-calculus, q-Stirling numbers of the second kind, Special numbers
Kaynak
AIP Conference Proceedings
WoS Q Değeri
Scopus Q Değeri
Q4
Cilt
2849
Sayı
1
