IMPLEMENTATION OF COMPUTATION FORMULAS FOR CERTAIN CLASSES OF APOSTOL-TYPE POLYNOMIALS AND SOME PROPERTIES ASSOCIATED WITH THESE POLYNOMIALS
[ X ]
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Ankara Univ, Fac Sci
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The main purpose of this paper is to present various identities and computation formulas for certain classes of Apostol-type numbers and polynomials. The results of this paper contain not only the lambda-Apostol-Daehee numbers and polynomials, but also Simsek numbers and polynomials, the Stirling numbers of the first kind, the Daehee numbers, and the Chu-Vandermonde identity. Furthermore, we derive an in finite series representation for the lambda-Apostol-Daehee polynomials. By using functional equations containing the generating functions for the Cauchy numbers and the Riemann integrals of the generating functions for the lambda-Apostol-Daehee numbers and polynomials, we also derive some identities and formulas for these numbers and polynomials. Moreover, we give implementation of a computation formula for the lambda-Apostol-Daehee polynomials in Mathematica by Wolfram language. By this implementation, we also present some plots of these polynomials in order to investigate their behaviour in some randomly selected special cases of their parameters. Finally, we conclude the paper with some comments and observations on our results.
Açıklama
Anahtar Kelimeler
bers and polynomials, Bernoulli numbers of the second kind, Daehee numbers and polynomials, integral formulas, Chu-Vandermonde identity, Bernstein basis functions, combinatorial sumsGenerating functions, functional equations, special numbers and polynomials, Stirling numbers of the.rst kind, Apostol-type numbers and polynomials, Simsek num
Kaynak
Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics
WoS Q Değeri
Q3
Scopus Q Değeri
Cilt
70
Sayı
1
