Some identities of degenerate special polynomials
In this paper, by considering higher-order degenerate Bernoulli and Euler polynomials which were introduced by Carlitz, we investigate some properties of mixed-type of those polynomials. In particular, we give some identities of mixed-type degenerate special polynomials which are derived from the fe...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2015-06-01
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| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | http://www.degruyter.com/view/j/math.2015.13.issue-1/math-2015-0037/math-2015-0037.xml?format=INT |
| _version_ | 1818129951385190400 |
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| author | Kim Dae San Kim Taekyun |
| author_facet | Kim Dae San Kim Taekyun |
| author_sort | Kim Dae San |
| collection | DOAJ |
| description | In this paper, by considering higher-order degenerate Bernoulli and Euler polynomials which were
introduced by Carlitz, we investigate some properties of mixed-type of those polynomials. In particular, we give
some identities of mixed-type degenerate special polynomials which are derived from the fermionic integrals on Zp
and the bosonic integrals on Zp. |
| first_indexed | 2024-12-11T07:57:18Z |
| format | Article |
| id | doaj.art-8090a2742a1b4a3bb5cbe1074686b1c2 |
| institution | Directory Open Access Journal |
| issn | 2391-5455 |
| language | English |
| last_indexed | 2024-12-11T07:57:18Z |
| publishDate | 2015-06-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Mathematics |
| spelling | doaj.art-8090a2742a1b4a3bb5cbe1074686b1c22022-12-22T01:15:12ZengDe GruyterOpen Mathematics2391-54552015-06-0113110.1515/math-2015-0037math-2015-0037Some identities of degenerate special polynomialsKim Dae San0Kim Taekyun1Department of Mathematics, Sogang University, Seoul 121-742, Republic of KoreaDepartment of Mathematics, Sogang University, Seoul 121-742, Republic of KoreaIn this paper, by considering higher-order degenerate Bernoulli and Euler polynomials which were introduced by Carlitz, we investigate some properties of mixed-type of those polynomials. In particular, we give some identities of mixed-type degenerate special polynomials which are derived from the fermionic integrals on Zp and the bosonic integrals on Zp.http://www.degruyter.com/view/j/math.2015.13.issue-1/math-2015-0037/math-2015-0037.xml?format=INTMixed-type degenerate special polynomialFermionic integralBosonic integral |
| spellingShingle | Kim Dae San Kim Taekyun Some identities of degenerate special polynomials Open Mathematics Mixed-type degenerate special polynomial Fermionic integral Bosonic integral |
| title | Some identities of degenerate special polynomials |
| title_full | Some identities of degenerate special polynomials |
| title_fullStr | Some identities of degenerate special polynomials |
| title_full_unstemmed | Some identities of degenerate special polynomials |
| title_short | Some identities of degenerate special polynomials |
| title_sort | some identities of degenerate special polynomials |
| topic | Mixed-type degenerate special polynomial Fermionic integral Bosonic integral |
| url | http://www.degruyter.com/view/j/math.2015.13.issue-1/math-2015-0037/math-2015-0037.xml?format=INT |
| work_keys_str_mv | AT kimdaesan someidentitiesofdegeneratespecialpolynomials AT kimtaekyun someidentitiesofdegeneratespecialpolynomials |