Families of unified and modified presentation of Fubini numbers and polynomials
Küçük Resim Yok
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
MTJPAM Turkey
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The goal of this paper is to define new families of unified and modified presentation of the Fubini numbers and polynomials with their generating functions. Using generating functions and their functional equations, many properties of these polynomials and numbers are presented. Relations among unified and modified presentation of the Fubini numbers and polynomials, Stirling type numbers, combinatorial type polynomials, and unified presentation of the generalized Bernoulli, Euler and Genocchi polynomials are given. Many novel identities and relations including these polynomials and numbers are also given. Moreover, new Hurwitz-Lerch type zeta functions, which interpolate unified and modified presentation of the Fubini numbers and polynomials at negative integers, are defined. Furthermore, suitable links of identities and relations, which are found in this paper, with those in earlier and future studies are indicated. © 2023, MTJPAM Turkey. All rights reserved.
Açıklama
Anahtar Kelimeler
Apostol type numbers and polynomials, combinatorial type numbers, Fubini type numbers and polynomials, generalized Apostol type numbers and polynomials, generating function, special numbers, Stirling type numbers
Kaynak
Montes Taurus Journal of Pure and Applied Mathematics
WoS Q Değeri
Scopus Q Değeri
N/A
Cilt
5
Sayı
1
