数学季刊 >

2020 , Vol. 35 >Issue 1: 56 - 62

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2020.01.005

带有二项式系数的广义Fibonacci和Lucas数一个结果的拓广

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  • Department of Mathematicsf Luoyang Normal University, Luoyang 471934, P. R. China
XUE Lin(1979-) female, native of Luoyang, Henan, an associate professor of Luoyang Normal University, M.S.D., engages in combinatorics; ZHANG Zhi~zheng(1964-), male, native of Xinxiang, Henan, who has been out of two postdoctoral stations, a professor of Luoyang Normal University, engages in combinatorics and special functions.

收稿日期: 2019-07-26

  网络出版日期: 2020-08-06

基金资助

Supported by the Youth Backbone Teacher Foundation of Henan,s University(Grant No. 2016GGJS-117); Supported by the National Natural Science Foundation of China(Grant No. 11871258)

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Extensions of An Approach to Generalized Fibonacci and Lucas Numbers with Binomial Coefficients

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  • Department of Mathematicsf Luoyang Normal University, Luoyang 471934, P. R. China
XUE Lin(1979-) female, native of Luoyang, Henan, an associate professor of Luoyang Normal University, M.S.D., engages in combinatorics; ZHANG Zhi~zheng(1964-), male, native of Xinxiang, Henan, who has been out of two postdoctoral stations, a professor of Luoyang Normal University, engages in combinatorics and special functions.

Received date: 2019-07-26

  Online published: 2020-08-06

Supported by

Supported by the Youth Backbone Teacher Foundation of Henan,s University(Grant No. 2016GGJS-117); Supported by the National Natural Science Foundation of China(Grant No. 11871258)

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摘要

The purpose of this paper is to give the extensions of some identities involving generalized Fibonacci and Lucas numbers with binomial coefficients. These results generalize the identities by Gulec, Taskaxa and Uslu in Appl. Math. Lett. 23(2010) 68-72 and Appl. Math. Comput. 220(2013) 482-486.

关键词： Second-order recurrence sequence; Generalized Fibonaci numbers; Generalized Lucas numbers; Binomial coefficient

本文引用格式

薛琳, 张之正 . 带有二项式系数的广义Fibonacci和Lucas数一个结果的拓广[J]. 数学季刊, 2020 , 35(1) : 56 -62 . DOI: 10.13371/j.cnki.chin.q.j.m.2020.01.005

Abstract

The purpose of this paper is to give the extensions of some identities involving generalized Fibonacci and Lucas numbers with binomial coefficients. These results generalize the identities by Gulec, Taskaxa and Uslu in Appl. Math. Lett. 23(2010) 68-72 and Appl. Math. Comput. 220(2013) 482-486.

Key words： Second-order recurrence sequence; Generalized Fibonaci numbers; Generalized Lucas numbers; Binomial coefficient

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