The m-Extension of Fibonacci and Lucas p-Difference Sequences

被引：2
|
作者：
Kome, Cahit [1 ]
Yazlik, Yasin [1 ]
机构：
[1] Nevsehir Haci Bektas Veli Univ, Dept Math, TR-50300 Nevsehir, Turkey
来源：
FILOMAT | 2019年 / 33卷 / 19期
关键词：
The m-extension of Fibonacci p-difference sequence; The m-extension of Lucas p-difference sequence; Generating function; Newton interpolation;
D O I：
10.2298/FIL1919187K
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we define the m-extension of Fibonacci and Lucas p-difference sequences by using the m-extension of Fibonacci and Lucas p-numbers. We investigate some properties of our new sequences and introduce some relations between the m-extension of Fibonacci and Lucas p-difference sequences and the m-extension of Fibonacci and Lucas p-numbers. Moreover, we present the sums and generating function of the m-extension of Fibonacci and Lucas p-difference sequences. Finally, we study the m-extension of Fibonacci p-difference Newton polynomial interpolation.
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页码：6187 / 6194
页数：8
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