ON GENERALIZED (k, r) - GAUSS PELL NUMBERS

被引:5
作者
Kuloglu, Bahar [1 ]
Ozkan, Engin [2 ]
机构
[1] Erzincan Binali Yildirim Univ, Grad Sch Nat & Appl Sci, Erzincan, Turkey
[2] Erzincan Binali Yildirim Univ, Fac Arts & Sci, Dept Math, Erzincan, Turkey
关键词
k - Pell numbers; Gauss Pell numbers; r-distance Gauss Pell numbers; generating functions; LUCAS-NUMBERS; FIBONACCI; SEQUENCES;
D O I
10.46939/J.Sci.Arts-21.3-a02
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 define the generalized (k, r) - Gauss Pell numbers by using the definition of a distance between numbers. Then we examine their properties and give some important identities for these numbers. In addition, we present the generating functions for these numbers and the sum of the terms of the generalized (k, r) - Gauss Pell numbers.
引用
收藏
页码:617 / 624
页数:8
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