Building generating functions for degenerate Simsek-type numbers and polynomials of higher order
Küçük Resim Yok
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
MTJPAM Turkey
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The objective of this paper is to build generating functions for new families of special numbers and polynomials, which are called higher order degenerate Peters-type Simsek numbers and polynomials of the second kind. Using generating function methods, we give both some fundamental properties of these functions with some relations among the higher order degenerate Peters-type Simsek numbers and polynomials of the second kind, the Stirling numbers of the first kind, the higher order degenerate Changhee numbers and polynomials, and the higher order Apostol-type Daehee numbers and polynomials. We also give some plots of these numbers and polynomials via Wolfram Cloud. Further, applying a partial derivative operator to these generating functions, we obtain derivative formulas for these new families. Eventually, we present further remarks on our new families including their generating functions. © 2024, MTJPAM Turkey. All rights reserved.
Açıklama
Anahtar Kelimeler
Apostol-type Daehee numbers and polynomials, degenerate Changhee numbers and polynomials, degenerate Peters-type Simsek numbers and polynomials, generating functions, Stirling numbers
Kaynak
Montes Taurus Journal of Pure and Applied Mathematics
WoS Q Değeri
Scopus Q Değeri
N/A
Cilt
6
Sayı
3
