A New Identity Involving Balancing Polynomials and Balancing Numbers

被引:7
作者
Meng, Yuanyuan [1 ]
机构
[1] Northwest Univ, Sch Math, Xian 710127, Shaanxi, Peoples R China
来源
SYMMETRY-BASEL | 2019年 / 11卷 / 09期
关键词
balancing numbers; balancing polynomials; combinatorial methods; symmetry sums; SUMS;
D O I
10.3390/sym11091141
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
In this paper, a second-order nonlinear recursive sequence M(h, i) is studied. By using this sequence, the properties of the power series, and the combinatorial methods, some interesting symmetry identities of the structural properties of balancing numbers and balancing polynomials are deduced.
引用
收藏
页数:7
相关论文
共 11 条
[1]  
Behera A, 1999, FIBONACCI QUART, V37, P98
[2]   HOUSE PROBLEM [J].
FINKELSTEIN, R .
AMERICAN MATHEMATICAL MONTHLY, 1965, 72 (10) :1082-+
[3]   A Generalization of Power and Alternating Power Sums to Any Appell Polynomials [J].
Kim, Dae San ;
Kim, Taekyun .
FILOMAT, 2017, 31 (01) :141-157
[4]   Balancing with binomial coefficients [J].
Komatsu, Takao ;
Szalay, Laszlo .
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2014, 10 (07) :1729-1742
[5]   Some Identities Involving Fibonacci Polynomials and Fibonacci Numbers [J].
Ma, Yuankui ;
Zhang, Wenpeng .
MATHEMATICS, 2018, 6 (12)
[6]  
Panda G.K., 2009, Congr. Numer., V194, P185
[7]  
Panda GK, 2018, MATH REP, V20, P201
[8]  
Patel BK, 2016, MATH REP, V18, P395
[9]  
Ray PK., 2009, THESIS ROURKELA NATL
[10]   A New Identity Involving the Chebyshev Polynomials [J].
Zhang, Yixue ;
Chen, Zhuoyu .
MATHEMATICS, 2018, 6 (11)