Distance Fibonacci Polynomials

被引:6
|
作者
Bednarz, Urszula [1 ]
Wolowiec-Musial, Malgorzata [1 ]
机构
[1] Rzeszow Univ Technol, Fac Math & Appl Phys, Al Powstancow Warszawy 12, PL-35959 Rzeszow, Poland
来源
SYMMETRY-BASEL | 2020年 / 12卷 / 09期
关键词
generalized Fibonacci polynomials; Pascal's triangle; generating function; matrix generator; Cassini formula; NUMBERS;
D O I
10.3390/sym12091540
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, we introduce a new kind of generalized Fibonacci polynomials in the distance sense. We give a direct formula, a generating function and matrix generators for these polynomials. Moreover, we present a graph interpretation of these polynomials, their connections with Pascal's triangle and we prove some identities for them.
引用
收藏
页数:14
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