Finite Sums Involving Reciprocals of the Binomial and Central Binomial Coefficients and Harmonic Numbers

We prove some finite sum identities involving reciprocals of the binomial and central binomial coefficients, as well as harmonic, Fibonacci and Lucas numbers, some of which recover previously known results, while the others are new.

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Bibliographic Details
Main Authors:	Necdet Batir, Anthony Sofo
Format:	article
Language:	EN
Published:	MDPI AG 2021
Subjects:	binomial coefficient central binomial coefficient harmonic number harmonic number sum fibonacci numbers lucas numbers Mathematics QA1-939
Online Access:	https://doaj.org/article/d277a7af7e214472abf15da1ea080c14
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spelling	oai:doaj.org-article:d277a7af7e214472abf15da1ea080c142021-11-25T19:05:56ZFinite Sums Involving Reciprocals of the Binomial and Central Binomial Coefficients and Harmonic Numbers10.3390/sym131120022073-8994https://doaj.org/article/d277a7af7e214472abf15da1ea080c142021-10-01T00:00:00Zhttps://www.mdpi.com/2073-8994/13/11/2002https://doaj.org/toc/2073-8994We prove some finite sum identities involving reciprocals of the binomial and central binomial coefficients, as well as harmonic, Fibonacci and Lucas numbers, some of which recover previously known results, while the others are new.Necdet BatirAnthony SofoMDPI AGarticlebinomial coefficientcentral binomial coefficientharmonic numberharmonic number sumfibonacci numberslucas numbersMathematicsQA1-939ENSymmetry, Vol 13, Iss 2002, p 2002 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	binomial coefficient central binomial coefficient harmonic number harmonic number sum fibonacci numbers lucas numbers Mathematics QA1-939
spellingShingle	binomial coefficient central binomial coefficient harmonic number harmonic number sum fibonacci numbers lucas numbers Mathematics QA1-939 Necdet Batir Anthony Sofo Finite Sums Involving Reciprocals of the Binomial and Central Binomial Coefficients and Harmonic Numbers
description	We prove some finite sum identities involving reciprocals of the binomial and central binomial coefficients, as well as harmonic, Fibonacci and Lucas numbers, some of which recover previously known results, while the others are new.
format	article
author	Necdet Batir Anthony Sofo
author_facet	Necdet Batir Anthony Sofo
author_sort	Necdet Batir
title	Finite Sums Involving Reciprocals of the Binomial and Central Binomial Coefficients and Harmonic Numbers
title_short	Finite Sums Involving Reciprocals of the Binomial and Central Binomial Coefficients and Harmonic Numbers
title_full	Finite Sums Involving Reciprocals of the Binomial and Central Binomial Coefficients and Harmonic Numbers
title_fullStr	Finite Sums Involving Reciprocals of the Binomial and Central Binomial Coefficients and Harmonic Numbers
title_full_unstemmed	Finite Sums Involving Reciprocals of the Binomial and Central Binomial Coefficients and Harmonic Numbers
title_sort	finite sums involving reciprocals of the binomial and central binomial coefficients and harmonic numbers
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/d277a7af7e214472abf15da1ea080c14
work_keys_str_mv	AT necdetbatir finitesumsinvolvingreciprocalsofthebinomialandcentralbinomialcoefficientsandharmonicnumbers AT anthonysofo finitesumsinvolvingreciprocalsofthebinomialandcentralbinomialcoefficientsandharmonicnumbers
_version_	1718410306396356608

Finite Sums Involving Reciprocals of the Binomial and Central Binomial Coefficients and Harmonic Numbers

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