On Fully Degenerate Daehee Numbers and Polynomials of the Second Kind

On Fully Degenerate Daehee Numbers and Polynomials of the Second Kind

In a study, Carlitz introduced the degenerate exponential function and applied that function to Bernoulli and Eulerian numbers and degenerate special functions have been studied by many researchers. In this paper, we define the fully degenerate Daehee polynomials of the second kind which are differe...

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Main Authors: Sang Jo Yun, Jin-Woo Park
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2020/7893498
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spelling doaj-db5f619a8a2b4e01b4b8715757f6fceb2020-11-25T02:49:29ZengHindawi LimitedJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/78934987893498On Fully Degenerate Daehee Numbers and Polynomials of the Second KindSang Jo Yun0Jin-Woo Park1Department of Mathematics, Dong-A University, Busan 604-714, Republic of KoreaDepartment of Mathematics Education, Daegu University, Gyeongsan-si, Gyeongsangbuk-do 38453, Republic of KoreaIn a study, Carlitz introduced the degenerate exponential function and applied that function to Bernoulli and Eulerian numbers and degenerate special functions have been studied by many researchers. In this paper, we define the fully degenerate Daehee polynomials of the second kind which are different from other degenerate Daehee polynomials and derive some new and interesting identities and properties of those polynomials.http://dx.doi.org/10.1155/2020/7893498
collection DOAJ
language English
format Article
sources DOAJ
author Sang Jo Yun
Jin-Woo Park
spellingShingle Sang Jo Yun
Jin-Woo Park
On Fully Degenerate Daehee Numbers and Polynomials of the Second Kind
Journal of Mathematics
author_facet Sang Jo Yun
Jin-Woo Park
author_sort Sang Jo Yun
title On Fully Degenerate Daehee Numbers and Polynomials of the Second Kind
title_short On Fully Degenerate Daehee Numbers and Polynomials of the Second Kind
title_full On Fully Degenerate Daehee Numbers and Polynomials of the Second Kind
title_fullStr On Fully Degenerate Daehee Numbers and Polynomials of the Second Kind
title_full_unstemmed On Fully Degenerate Daehee Numbers and Polynomials of the Second Kind
title_sort on fully degenerate daehee numbers and polynomials of the second kind
publisher Hindawi Limited
series Journal of Mathematics
issn 2314-4629
2314-4785
publishDate 2020-01-01
description In a study, Carlitz introduced the degenerate exponential function and applied that function to Bernoulli and Eulerian numbers and degenerate special functions have been studied by many researchers. In this paper, we define the fully degenerate Daehee polynomials of the second kind which are different from other degenerate Daehee polynomials and derive some new and interesting identities and properties of those polynomials.
url http://dx.doi.org/10.1155/2020/7893498
work_keys_str_mv AT sangjoyun onfullydegeneratedaeheenumbersandpolynomialsofthesecondkind
AT jinwoopark onfullydegeneratedaeheenumbersandpolynomialsofthesecondkind
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