Finite Sums Involving Reciprocals of the Binomial and Central Binomial Coefficients and Harmonic Numbers-Reference-Cited by-同舟云学术

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

Published:2021-10-22 Issue:11 Volume:13 Page:2002
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Batir Necdet,Sofo Anthony^ORCID

Abstract

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.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/13/11/2002/pdf

Reference24 articles.

1. Sums of the inverses of binomial coefficients;Rockett;Fib. Quart.,1981

2. Sums of reciprocals of the central binomial coefficients;Sprugnoli;Integers,2006

3. Combinatorial Identities;Gould,1972

4. Om summasjon av potenser av binomial koeffisienten;Staver;Nor. Mat. Tidsskr.,1947

5. The sum of inverses of binomial coefficients revisited;Pla;Fib. Quart.,1997

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Recent Advances in Special Functions and Their Applications;Symmetry;2023-12-05

2. Infinite series around multinomial coefficients and harmonic numbers;Kodai Mathematical Journal;2023-06-30

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