Yazar "Şimşek, Yilmaz" seçeneğine göre listele
Listeleniyor 1 - 1 / 1
Sayfa Başına Sonuç
Sıralama seçenekleri
Öğe REMARKS ON COMBINATORIAL SUMS ASSOCIATED WITH SPECIAL NUMBERS AND POLYNOMIALS WITH THEIR GENERATING FUNCTIONS(Bayram Sahin, 2022) Kilar, Neslihan; Şimşek, YilmazThe 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.
