Fibonacci and Lucas Differential Equations

被引：0
|
作者：
Erkus-Duman, Esra [1 ]
Ciftci, Hakan [2 ]
机构：
[1] Gazi Univ, Dept Math, TR-06500 Ankara, Turkey
[2] Gazi Univ, Dept Phys, TR-06500 Ankara, Turkey
来源：
APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL | 2018年 / 13卷 / 02期
关键词：
Fibonacci Polynomial; Lucas Polynomial; Recurrence Relation; Gaussian Function; Hypergeometric Differential Equation;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The second-order linear hypergeometric differential equation and the hypergeometric function play a central role in many areas of mathematics and physics. The purpose of this paper is to obtain differential equations and the hypergeometric forms of the Fibonacci and the Lucas polynomials. We also write again these polynomials by means of Olver's hypergeometric functions. In addition, we present some relations between these polynomials and the other well-known functions.
引用
收藏
页码：756 / 763
页数：8
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