A Note on the Degenerate Poly-Cauchy Polynomials and Numbers of the Second Kind
In this paper, we consider the degenerate Cauchy numbers of the second kind were defined by Kim (2015). By using modified polyexponential functions, first introduced by Kim-Kim (2019), we define the degenerate poly-Cauchy polynomials and numbers of the second kind and investigate some identities and...
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MDPI AG
2020-06-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/12/7/1066 |
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doaj-47ee5ba47eca4455ad1524e23c2285442020-11-25T03:11:12ZengMDPI AGSymmetry2073-89942020-06-01121066106610.3390/sym12071066A Note on the Degenerate Poly-Cauchy Polynomials and Numbers of the Second KindHye Kyung Kim0Lee-Chae Jang1Department of Mathematics Education, Daegu Catholic University, Gyeongsan 38430, KoreaGraduate School of Education, Konkuk University, Seoul 05029, KoreaIn this paper, we consider the degenerate Cauchy numbers of the second kind were defined by Kim (2015). By using modified polyexponential functions, first introduced by Kim-Kim (2019), we define the degenerate poly-Cauchy polynomials and numbers of the second kind and investigate some identities and relationship between various polynomials and the degenerate poly-Cauchy polynomials of the second kind. Using this as a basis of further research, we define the degenerate unipoly-Cauchy polynomials of the second kind and illustrate their important identities.https://www.mdpi.com/2073-8994/12/7/1066polylogarithm functionsunipoly functionsCauchy polynomialspoly-Cauchy polynomialsunipoly-Cauchy polynomials |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Hye Kyung Kim Lee-Chae Jang |
| spellingShingle |
Hye Kyung Kim Lee-Chae Jang A Note on the Degenerate Poly-Cauchy Polynomials and Numbers of the Second Kind Symmetry polylogarithm functions unipoly functions Cauchy polynomials poly-Cauchy polynomials unipoly-Cauchy polynomials |
| author_facet |
Hye Kyung Kim Lee-Chae Jang |
| author_sort |
Hye Kyung Kim |
| title |
A Note on the Degenerate Poly-Cauchy Polynomials and Numbers of the Second Kind |
| title_short |
A Note on the Degenerate Poly-Cauchy Polynomials and Numbers of the Second Kind |
| title_full |
A Note on the Degenerate Poly-Cauchy Polynomials and Numbers of the Second Kind |
| title_fullStr |
A Note on the Degenerate Poly-Cauchy Polynomials and Numbers of the Second Kind |
| title_full_unstemmed |
A Note on the Degenerate Poly-Cauchy Polynomials and Numbers of the Second Kind |
| title_sort |
note on the degenerate poly-cauchy polynomials and numbers of the second kind |
| publisher |
MDPI AG |
| series |
Symmetry |
| issn |
2073-8994 |
| publishDate |
2020-06-01 |
| description |
In this paper, we consider the degenerate Cauchy numbers of the second kind were defined by Kim (2015). By using modified polyexponential functions, first introduced by Kim-Kim (2019), we define the degenerate poly-Cauchy polynomials and numbers of the second kind and investigate some identities and relationship between various polynomials and the degenerate poly-Cauchy polynomials of the second kind. Using this as a basis of further research, we define the degenerate unipoly-Cauchy polynomials of the second kind and illustrate their important identities. |
| topic |
polylogarithm functions unipoly functions Cauchy polynomials poly-Cauchy polynomials unipoly-Cauchy polynomials |
| url |
https://www.mdpi.com/2073-8994/12/7/1066 |
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