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

被引:3
|
作者
Batir, Necdet [1 ]
Sofo, Anthony [2 ]
机构
[1] Nevsehir Haci Bektas Veli Univ, Dept Math, TR-50300 Nevsehir, Turkey
[2] Victoria Univ, Coll Engn & Sci, Footscray, Vic 3011, Australia
来源
SYMMETRY-BASEL | 2021年 / 13卷 / 11期
关键词
binomial coefficient; central binomial coefficient; harmonic number; harmonic number sum; fibonacci numbers; lucas numbers; finite sum; INVERSES;
D O I
10.3390/sym13112002
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
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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页数:13
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