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: Wiley 2020-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2020/7893498
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author Sang Jo Yun
Jin-Woo Park
author_facet Sang Jo Yun
Jin-Woo Park
author_sort Sang Jo Yun
collection DOAJ
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.
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publishDate 2020-01-01
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spelling doaj-art-db5f619a8a2b4e01b4b8715757f6fceb2025-08-20T02:21:17ZengWileyJournal 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
spellingShingle Sang Jo Yun
Jin-Woo Park
On Fully Degenerate Daehee Numbers and Polynomials of the Second Kind
Journal of Mathematics
title 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_short On Fully Degenerate Daehee Numbers and Polynomials of the Second Kind
title_sort on fully degenerate daehee numbers and polynomials of the second kind
url http://dx.doi.org/10.1155/2020/7893498
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