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.

引用

页数：13

共 24 条

[1]

[Anonymous], 2012, Invitation to Classical Analysis

[2]

[Anonymous], 1994, FDN COMPUTER SCI

[3]

Batir N., 2020, Integers, V20, P2

[4]

Batir N, 2021, J INTEGER SEQ, V24

[5]

Belbachir H, 2011, J INTEGER SEQ, V14

[6]

Belbachir H, 2012, J INTEGER SEQ, V15

[7]

Campbell J.M., 2020, IDENTITIES FINITE SU

[8]

GOULD HW, 1972, COMBINATORIAL IDENTI

[9]

Jin H.T, 2015, INTEGERS, V15, P2

[10] Combinatorial identities and inverse binomial coefficients [J].

Mansour, T .

ADVANCES IN APPLIED MATHEMATICS, 2002, 28 (02) :196-202

← 1 2 3 →