带有二项式系数的广义Fibonacci和Lucas数一个结果的拓广

doi:10.13371/j.cnki.chin.q.j.m.2020.01.005

数学季刊 ›› 2020, Vol. 35 ›› Issue (1): 56-62.doi: 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

XUE Lin, ZHANG Zhi-zheng

Department of Mathematicsf Luoyang Normal University, Luoyang 471934, P. R. China

收稿日期:2019-07-26 出版日期:2020-03-30 发布日期:2020-08-06
作者简介: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.
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)

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

XUE Lin, ZHANG Zhi-zheng

Department of Mathematicsf Luoyang Normal University, Luoyang 471934, P. R. China

Received:2019-07-26 Online:2020-03-30 Published:2020-08-06
About author: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.
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)

摘要/Abstract

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

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

中图分类号:

O157.1

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.

XUE Lin, ZHANG Zhi-zheng. Extensions of An Approach to Generalized Fibonacci and Lucas Numbers with Binomial Coefficients[J]. Chinese Quarterly Journal of Mathematics, 2020, 35(1): 56-62.

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带有二项式系数的广义Fibonacci和Lucas数一个结果的拓广

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

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