A second-order difference equation with sign-alternating coefficients

被引：1
|
作者：
da Fonseca, Carlos M. [1 ,2 ]
Kizilates, Can [3 ]
Terzioglu, Nazlihan [3 ]
机构：
[1] Kuwait Coll Sci & Technol, POB 27235, Safat 13133, Kuwait
[2] Univ Deusto, Chair Computat Math, Bilbao 48007, Spain
[3] Zonguldak Bulent Ecevit Univ, Dept Math, TR-67100 Zonguldak, Turkiye
来源：
KUWAIT JOURNAL OF SCIENCE | 2023年 / 50卷 / 02期
关键词：
Chebyshev polynomials of the second kind; difference equations; Fibonacci numbers; in-teger sequences; tridiagonal matrices;
D O I：
10.48129/kjs.20425
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 provide an explicit solution for the terms of the sequence (xn,k) defined byxn,k = xn-1,k - (-1)L(n-2)/k]xn-2,k ,for n 3, setting x1,k = 1 and x2,k = 0. Several particular examples are considered.
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页数：1
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