Degenerate Cauchy numbers of the third kind

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...

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Main Authors: Sung-Soo Pyo, Taekyun Kim, Seog-Hoon Rim
Format: Article
Language:English
Published: SpringerOpen 2018-02-01
Series:Journal of Inequalities and Applications
Subjects:
Cauchy numbers
Degenerate Cauchy numbers
Degenerate Cauchy numbers of the third kind
Online Access:http://link.springer.com/article/10.1186/s13660-018-1626-x
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spelling doaj-bb59a38dc2114154962b5656319af3fa2020-11-25T01:09:47ZengSpringerOpenJournal 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
collection DOAJ
language English
format Article
sources DOAJ
author Sung-Soo Pyo
Taekyun Kim
Seog-Hoon Rim
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
author_facet Sung-Soo Pyo
Taekyun Kim
Seog-Hoon Rim
author_sort Sung-Soo Pyo
title Degenerate Cauchy numbers of the third kind
title_short 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_sort degenerate cauchy numbers of the third kind
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1029-242X
publishDate 2018-02-01
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.
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
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