Several explicit formulas for (degenerate) Narumi and Cauchy polynomials and numbers-Reference-Cited by-同舟云学术

Several explicit formulas for (degenerate) Narumi and Cauchy polynomials and numbers

Published:2021-01-01 Issue:1 Volume:19 Page:833-849
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Qi Feng¹²^ORCID,Dağlı Muhammet Cihat³^ORCID,Lim Dongkyu⁴^ORCID

Affiliation:

1. Institute of Mathematics, Henan Polytechnic University , Jiaozuo 454010 , Henan , China

2. School of Mathematical Sciences, Tiangong University , Tianjin 300387 , China

3. Department of Mathematics, Akdeniz University , 07058-Antalya , Turkey

4. Department of Mathematics Education, Andong National University , Andong 36729 , Republic of Korea

Abstract

Abstract In this paper, with the aid of the Faà di Bruno formula and by virtue of properties of the Bell polynomials of the second kind, the authors define a kind of notion of degenerate Narumi numbers and polynomials, establish explicit formulas for degenerate Narumi numbers and polynomials, and derive explicit formulas for the Narumi numbers and polynomials and for (degenerate) Cauchy numbers.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2021-0079/pdf

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