On k-generalized Lucas sequence with its triangle

被引：0

作者：

Acikel, Abdullah ^{[1
]}

Amrouche, Said ^{[2
]}

Belbachir, Hacene ^{[2
,3
]}

Irmak, Nurettin ^{[4
]}

机构：

[1] Hatay Mustafa Kemal Univ, Hassa Vocat Sch, Antakya, Turkiye

[2] USTHB, Fac Math, RECITS Lab, POB 32, El Alia, Bab Ezzouar Alg, Algeria

[3] Sci & Tech Informat Res Ctr, Algiers, Algeria

[4] Konya Tech Univ, Engn & Nat Sci Fac, Dept Engn Basic Sci, Konya, Turkiye

来源：

TURKISH JOURNAL OF MATHEMATICS | 2023年 / 47卷 / 04期

关键词：

k- generalized Lucas sequence; arithmetic triangle; recurrence relation; bi s nomial coefficient;

D O I：

10.55730/1300-0098.3416

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate several identities of k -generalized Lucas numbers with k -generalized Fibonacci numbers. We also establish a link between generalized s -Lucas triangle and bi s nomial coefficients given by the coefficients of the development of a power of (1 + x + x2 + center dot center dot center dot + xs), with s is an element of N.

引用

页码：1129 / 1143

页数：16

共 50 条

[31] ON THE DISCRIMINANT OF THE k-GENERALIZED FIBONACCI POLYNOMIAL, II
Luca, Florian
FIBONACCI QUARTERLY, 2024, 62 (03): : 193 - 200
[32] Multiplicative Independence in k-Generalized Fibonacci Sequences
Gomez Ruiz, Carlos Alexis
Luca, Florian
LITHUANIAN MATHEMATICAL JOURNAL, 2016, 56 (04) : 503 - 517
[33] q,k-generalized gamma and beta functions
Díaz, R
Teruel, C
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2005, 12 (01) : 118 - 134
[34] On some properties of k-generalized Fibonacci numbers
Ozdemir, Halim
Karakaya, Sinan
MATHEMATICAL COMMUNICATIONS, 2024, 29 (02) : 193 - 202
[35] Diophantine Triples and k-Generalized Fibonacci Sequences
Fuchs, Clemens
Hutle, Christoph
Luca, Florian
Szalay, Laszlo
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2018, 41 (03) : 1449 - 1465
[36] An Equation Related to k-Generalized Fibonacci Numbers
Marques, Diego
Trojovsky, Pavel
UTILITAS MATHEMATICA, 2016, 101 : 79 - 89
[37] q,k-Generalized Gamma and Beta Functions
Rafael Díaz
Carolina Teruel
Journal of Nonlinear Mathematical Physics, 2005, 12 : 118 - 134
[38] On k-generalized Fibonacci numbers with negative indices
Petho, Attila
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2021, 98 (3-4): : 401 - 418
[39] The Binet formula for the k-generalized Fibonacci numbers
Yang, Sheng-liang
Zhang, Hui-ting
ARS COMBINATORIA, 2014, 116 : 193 - 204
[40] On Decay Properties of Solutions of the k-Generalized KdV Equation
Pedro Isaza
Felipe Linares
Gustavo Ponce
Communications in Mathematical Physics, 2013, 324 : 129 - 146

← 1 2 3 4 5 →