Analysis of higher-order peters-type combinatorial numbers and polynomials by their generating functions and p-adic integration
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Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
American Institute of Physics Inc.
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The 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.
Açıklama
International Conference on Numerical Analysis and Applied Mathematics 2019, ICNAAM 2019 -- 23 September 2019 through 28 September 2019----165330
Anahtar Kelimeler
Combinatorial numbers and polynomials, Combinatorial sum, Daehee and Changhee numbers, Generating function, P-adic integral, Peters polynomials, Stirling numbers of the first kind
Kaynak
AIP Conference Proceedings
WoS Q Değeri
Scopus Q Değeri
Q4
Cilt
2293
