Degenerate Cauchy numbers of the third kind

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...

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Detalles Bibliográficos
Autores principales: Pyo, Sung-Soo, Kim, Taekyun, Rim, Seog-Hoon
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5799337/
https://www.ncbi.nlm.nih.gov/pubmed/29445262
http://dx.doi.org/10.1186/s13660-018-1626-x
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author Pyo, Sung-Soo
Kim, Taekyun
Rim, Seog-Hoon
author_facet Pyo, Sung-Soo
Kim, Taekyun
Rim, Seog-Hoon
author_sort Pyo, Sung-Soo
collection PubMed
description 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.
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spelling pubmed-57993372018-02-12 Degenerate Cauchy numbers of the third kind Pyo, Sung-Soo Kim, Taekyun Rim, Seog-Hoon J Inequal Appl Research 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. Springer International Publishing 2018-02-05 2018 /pmc/articles/PMC5799337/ /pubmed/29445262 http://dx.doi.org/10.1186/s13660-018-1626-x Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Pyo, Sung-Soo
Kim, Taekyun
Rim, Seog-Hoon
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 Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5799337/
https://www.ncbi.nlm.nih.gov/pubmed/29445262
http://dx.doi.org/10.1186/s13660-018-1626-x
work_keys_str_mv AT pyosungsoo degeneratecauchynumbersofthethirdkind
AT kimtaekyun degeneratecauchynumbersofthethirdkind
AT rimseoghoon degeneratecauchynumbersofthethirdkind

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