Degenerate Cauchy numbers of the third kind
Abstract Since Cauchy numbers were introduced, various types of Cauchy numbers have been presented. In this paper, we define degenerate Cauchy numbers of the third kind and give some identities for the degenerate Cauchy numbers of the third kind. In addition, we give some relations between four kind...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-02-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-018-1626-x |
| _version_ | 1811196023469506560 |
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| author | Sung-Soo Pyo Taekyun Kim Seog-Hoon Rim |
| author_facet | Sung-Soo Pyo Taekyun Kim Seog-Hoon Rim |
| author_sort | Sung-Soo Pyo |
| collection | DOAJ |
| description | Abstract Since Cauchy numbers were introduced, various types of Cauchy numbers have been presented. In this paper, we define degenerate Cauchy numbers of the third kind and give some identities for the degenerate Cauchy numbers of the third kind. In addition, we give some relations between four kinds of the degenerate Cauchy numbers, the Daehee numbers and the degenerate Bernoulli numbers. |
| first_indexed | 2024-04-12T00:52:54Z |
| format | Article |
| id | doaj.art-bb59a38dc2114154962b5656319af3fa |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-04-12T00:52:54Z |
| publishDate | 2018-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-bb59a38dc2114154962b5656319af3fa2022-12-22T03:54:42ZengSpringerOpenJournal of Inequalities and Applications1029-242X2018-02-012018111210.1186/s13660-018-1626-xDegenerate Cauchy numbers of the third kindSung-Soo Pyo0Taekyun Kim1Seog-Hoon Rim2Department of mathematics Education, Silla UniversityDepartment of Mathematics, Kwangwoon UniversityDepartment of Mathematics Education, Kyungpook National UniversityAbstract Since Cauchy numbers were introduced, various types of Cauchy numbers have been presented. In this paper, we define degenerate Cauchy numbers of the third kind and give some identities for the degenerate Cauchy numbers of the third kind. In addition, we give some relations between four kinds of the degenerate Cauchy numbers, the Daehee numbers and the degenerate Bernoulli numbers.http://link.springer.com/article/10.1186/s13660-018-1626-xCauchy numbersDegenerate Cauchy numbersDegenerate Cauchy numbers of the third kind |
| spellingShingle | Sung-Soo Pyo Taekyun Kim Seog-Hoon Rim Degenerate Cauchy numbers of the third kind Journal of Inequalities and Applications Cauchy numbers Degenerate Cauchy numbers Degenerate Cauchy numbers of the third kind |
| title | Degenerate Cauchy numbers of the third kind |
| title_full | Degenerate Cauchy numbers of the third kind |
| title_fullStr | Degenerate Cauchy numbers of the third kind |
| title_full_unstemmed | Degenerate Cauchy numbers of the third kind |
| title_short | Degenerate Cauchy numbers of the third kind |
| title_sort | degenerate cauchy numbers of the third kind |
| topic | Cauchy numbers Degenerate Cauchy numbers Degenerate Cauchy numbers of the third kind |
| url | http://link.springer.com/article/10.1186/s13660-018-1626-x |
| work_keys_str_mv | AT sungsoopyo degeneratecauchynumbersofthethirdkind AT taekyunkim degeneratecauchynumbersofthethirdkind AT seoghoonrim degeneratecauchynumbersofthethirdkind |