Formulas for Fubini type numbers and polynomials of negative higher order
Küçük Resim Yok
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
MTJPAM Turkey
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The present paper deals with the Fubini type numbers and polynomials with their generating functions and functional equations. By using these functions, some properties and applications of these polynomials are investigated. Many relations and computation formulas connected with the Stirling type numbers, the Apostol type polynomials and numbers of order ?r, the Bernoulli polynomials of order ?r, the Euler polynomials and numbers of order ?r, the Fubini type numbers and polynomials of order ?r and combinatorial numbers are given. Applying the derivative operator to the generating functions of these polynomials, some formulas and combinatorial sums including these numbers and polynomials are also given. Moreover, applying the Riemann integral to some formulas, we derive several interesting finite combinatorial sums associated with the Bernstein basis functions, the Cauchy numbers and the Stirling type numbers. © 2023, MTJPAM Turkey. All rights reserved.
Açıklama
Anahtar Kelimeler
Bernstein basis functions, Cauchy numbers, combinatorial numbers, Fubini type numbers and polynomials, generating function, special numbers, Stirling numbers
Kaynak
Montes Taurus Journal of Pure and Applied Mathematics
WoS Q Değeri
Scopus Q Değeri
N/A
Cilt
5
Sayı
3 Special Issue
