Unification of the generating functions for Sheffer type sequences and their applications
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Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
MTJPAM Turkey
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, it is aimed to introduce a unification and generalization of the generating functions for Sheffer type sequences such as the Peters polynomials, the Boole polynomials, the Changhee polynomials, the Korobov polynomials of the first kind and the Peters-type Simsek numbers and polynomials. Moreover, by considering a special case of the aforementioned unification, we also introduce and investigate a new family of numbers and polynomials to be referred as the more general kind of the Peters-type Simsek numbers and polynomials. Finally, we give some applications of our findings. © 2023, MTJPAM Turkey. All rights reserved.
Açıklama
Anahtar Kelimeler
computation formulas, Fibonacci type numbers and polynomials, Generating functions, Peters-type Simsek numbers and polynomials, recurrence relations, Sheffer sequences, special functions, special numbers and polynomials
Kaynak
Montes Taurus Journal of Pure and Applied Mathematics
WoS Q Değeri
Scopus Q Değeri
Q1
Cilt
5
Sayı
2
