Identities between harmonic, hyperharmonic and Daehee numbers

In this paper, we present some identities relating the hyperharmonic, the Daehee and the derangement numbers, and we derive some nonlinear differential equations from the generating function of a hyperharmonic number. In addition, we use this differential equation to obtain some identities in which...

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Detalles Bibliográficos
Autores principales: Rim, Seog-Hoon, Kim, Taekyun, Pyo, Sung-Soo
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6061537/
https://www.ncbi.nlm.nih.gov/pubmed/30137896
http://dx.doi.org/10.1186/s13660-018-1757-0
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author Rim, Seog-Hoon
Kim, Taekyun
Pyo, Sung-Soo
author_facet Rim, Seog-Hoon
Kim, Taekyun
Pyo, Sung-Soo
author_sort Rim, Seog-Hoon
collection PubMed
description In this paper, we present some identities relating the hyperharmonic, the Daehee and the derangement numbers, and we derive some nonlinear differential equations from the generating function of a hyperharmonic number. In addition, we use this differential equation to obtain some identities in which the hyperharmonic numbers and the Daehee numbers are involved.
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spelling pubmed-60615372018-08-09 Identities between harmonic, hyperharmonic and Daehee numbers Rim, Seog-Hoon Kim, Taekyun Pyo, Sung-Soo J Inequal Appl Research In this paper, we present some identities relating the hyperharmonic, the Daehee and the derangement numbers, and we derive some nonlinear differential equations from the generating function of a hyperharmonic number. In addition, we use this differential equation to obtain some identities in which the hyperharmonic numbers and the Daehee numbers are involved. Springer International Publishing 2018-07-11 2018 /pmc/articles/PMC6061537/ /pubmed/30137896 http://dx.doi.org/10.1186/s13660-018-1757-0 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
Rim, Seog-Hoon
Kim, Taekyun
Pyo, Sung-Soo
Identities between harmonic, hyperharmonic and Daehee numbers
title Identities between harmonic, hyperharmonic and Daehee numbers
title_full Identities between harmonic, hyperharmonic and Daehee numbers
title_fullStr Identities between harmonic, hyperharmonic and Daehee numbers
title_full_unstemmed Identities between harmonic, hyperharmonic and Daehee numbers
title_short Identities between harmonic, hyperharmonic and Daehee numbers
title_sort identities between harmonic, hyperharmonic and daehee numbers
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6061537/
https://www.ncbi.nlm.nih.gov/pubmed/30137896
http://dx.doi.org/10.1186/s13660-018-1757-0
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AT kimtaekyun identitiesbetweenharmonichyperharmonicanddaeheenumbers
AT pyosungsoo identitiesbetweenharmonichyperharmonicanddaeheenumbers

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