REMARKS ON COMBINATORIAL SUMS ASSOCIATED WITH SPECIAL NUMBERS AND POLYNOMIALS WITH THEIR GENERATING FUNCTIONS
Küçük Resim Yok
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Bayram Sahin
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The purpose of this article is to give some novel identities and inequalities associated with combinatorial sums involving special numbers and polynomials. In particular, by using the method of generating functions and their functional equations, we derive not only some inequalities, but also many formulas, identities, and relations for the parametrically generalized polynomials, special numbers and special polynomials. Our identities, relations, inequalities and combinatorial sums are related to the Bernoulli numbers and polynomials of negative order, the Euler numbers and polynomials of negative order, the Stirling numbers, the Daehee numbers, the Changhee numbers, the Bernoulli polynomials, the Euler polyno-mials, the parametrically generalized polynomials, and other well-known special numbers and polynomials. Moreover, using Mathematica with the help of the Wolfram programming language, we illustrate some plots of the parametrically generalized polynomials under some of their randomly selected special conditions. Finally, we give some remarks and observa-tions on our results. © 2022, Bayram Sahin. All rights reserved.
Açıklama
Anahtar Kelimeler
Bernoulli numbers and polynomials, Changhee numbers, Daehee numbers, Euler numbers and polynomials, Generating functions, Parametrically generalized polynomials, Special functions, Special numbers and polynomials, Stirling numbers
Kaynak
International Journal of Maps in Mathematics
WoS Q Değeri
Scopus Q Değeri
N/A
Cilt
5
Sayı
1
