Implementation of computation formulas for certain classes of Apostol-type polynomials and some properties associated with these polynomials

Irem KUCUKOGLU

doi:https://doi.org/10.31801/cfsuasmas.831024

Makale detayları

Implementation of computation formulas for certain classes of Apostol-type polynomials and some properties associated with these polynomials

Yazarlar:

Irem KUCUKOGLU

Yayıncı:

Ankara University

Ana Başlıklar:

Matematik

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 2021 Vol.70 Issue 1, pp.426-442

Belge Tipi:

Makale

Yayın Tarihi:

6/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000909007

Sıklık:

Üç Aylık

eISSN:

2618-6470

pISSN:

1303-5991

DOI:

https://doi.org/10.31801/cfsuasmas.831024

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 λλ\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 infinite series representation for the λλ\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 λλ\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 λλ\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 some randomly selected special cases of their parameters. Finally, we conclude the paper with some comments and observations on our results.

Makale detayları

Implementation of computation formulas for certain classes of Apostol-type polynomials and some properties associated with these polynomials

Yazarlar: Irem KUCUKOGLU

Yayıncı: Ankara University

Ana Başlıklar: Matematik

Dergi: Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 2021 Vol.70 Issue 1, pp.426-442

Belge Tipi: Makale

Yayın Tarihi: 6/2021

Belge Dili: İngilizce

Document ID (Org No.): 2000909007

Sıklık: Üç Aylık

eISSN: 2618-6470

pISSN: 1303-5991

DOI: https://doi.org/10.31801/cfsuasmas.831024

Sayı

Yazarlar:

Irem KUCUKOGLU

Yayıncı:

Ankara University

Ana Başlıklar:

Matematik

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 2021 Vol.70 Issue 1, pp.426-442

Belge Tipi:

Makale

Yayın Tarihi:

6/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000909007

Sıklık:

Üç Aylık

eISSN:

2618-6470

pISSN:

1303-5991

DOI:

https://doi.org/10.31801/cfsuasmas.831024