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

[21] A Study on k-Generalized ψ-Hilfer Derivative Operator
Abdelkrim Salim
Jamal Eddine Lazreg
Bashir Ahmad
Mouffak Benchohra
Juan J. Nieto
Vietnam Journal of Mathematics, 2024, 52 : 25 - 43
[22] Markov triples with k-generalized Fibonacci components
Gomez, Carlos A.
Gomez, Jhonny C.
Luca, Florian
ANNALES MATHEMATICAE ET INFORMATICAE, 2020, 52 : 107 - 115
[23] Diophantine Triples and k-Generalized Fibonacci Sequences
Clemens Fuchs
Christoph Hutle
Florian Luca
László Szalay
Bulletin of the Malaysian Mathematical Sciences Society, 2018, 41 : 1449 - 1465
[24] On the sum of the reciprocals of k-generalized Fibonacci numbers
Alahmadi, Adel
Luca, Florian
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2022, 30 (01): : 31 - 42
[25] On the sum of the reciprocals of k-generalized Pell numbers
Normenyo, Benedict Vasco
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2025, 56 (01): : 163 - 174
[26] A Study on k-Generalized ψ-Hilfer Derivative Operator
Salim, Abdelkrim
Lazreg, Jamal Eddine
Ahmad, Bashir
Benchohra, Mouffak
Nieto, Juan J.
VIETNAM JOURNAL OF MATHEMATICS, 2024, 52 (01) : 25 - 43
[27] SOME BOUNDS FOR THE k-GENERALIZED DIGAMMA FUNCTION
Moustafa, Hesham
Mahmoud, Mansour
Talat, Ahmed
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2023, 72 (04): : 1126 - 1140
[28] On the sum of the reciprocals of k-generalized Pell numbers
Normenyo, Benedict Vasco
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2023,
[29] Bell polynomials and k-generalized Dyck paths
Mansour, Toufik
Sun, Yidong
DISCRETE APPLIED MATHEMATICS, 2008, 156 (12) : 2279 - 2292
[30] Characterizations and linear combinations of k-generalized projectors
Benítez, J
Thome, N
LINEAR ALGEBRA AND ITS APPLICATIONS, 2005, 410 : 150 - 159

← 1 2 3 4 5 →