Bivariate Mersenne polynomials and matrices

被引：5
|
作者：
Vieira Alves, Francisco Regis [1 ]
机构：
[1] Inst Fed Tecnol State Ceara IFCE, Dept Math, Fortaleza, Ceara, Brazil
来源：
NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS | 2020年 / 26卷 / 03期
关键词：
Mersenne sequence; Matrix properties; Bivariate Mersenne sequence;
D O I：
10.7546/nntdm.2020.26.3.83-95
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work we present a new notion called bivariate polynomials of Mersenne. We will also discuss certain related matrix properties. Finally, we introduce a notion of the bivariate quaternions of Mersenne.
引用
收藏
页码：83 / 95
页数：13
相关论文
共 50 条
  • [21] ON APPROXIMATION BY BIVARIATE INCOMPLETE POLYNOMIALS
    KROO, A
    CONSTRUCTIVE APPROXIMATION, 1994, 10 (02) : 197 - 206
  • [22] On the bivariate Padovan polynomials matrix
    Diskaya, Orhan
    Menken, Hamza
    Catarino, Paula Maria Machado Cruz
    NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2023, 29 (03) : 407 - 420
  • [23] Classes of Bivariate Orthogonal Polynomials
    Ismail, Mourad E. H.
    Zhang, Ruiming
    SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2016, 12
  • [24] Factorization of bivariate sparse polynomials
    Amoroso, Francesco
    Sombra, Martin
    ACTA ARITHMETICA, 2019, 191 (04) : 361 - 381
  • [25] On the derivatives of bivariate Fibonacci polynomials
    Cakmak, Tuba
    Karaduman, Erdal
    NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2018, 24 (03) : 37 - 46
  • [26] On bivariate classical orthogonal polynomials
    Marcellan, Francisco
    Marriaga, Misael
    Perez, Teresa E.
    Pinar, Miguel A.
    APPLIED MATHEMATICS AND COMPUTATION, 2018, 325 : 340 - 357
  • [27] On zero curves of bivariate polynomials
    Floater, MS
    ADVANCES IN COMPUTATIONAL MATHEMATICS, 1996, 5 (04) : 399 - 415
  • [28] On Solving Systems of Bivariate Polynomials
    Rouillier, Fabrice
    MATHEMATICAL SOFTWARE - ICMS 2010, 2010, 6327 : 100 - 104
  • [29] Digital masking using Mersenne matrices and their special images
    Vostrikov, Anton
    Sergeev, Mikhail
    Balonin, Nikolaj
    Chernyshev, Stanislav
    KNOWLEDGE-BASED AND INTELLIGENT INFORMATION & ENGINEERING SYSTEMS, 2017, 112 : 1151 - 1159
  • [30] ON SOME NEW FAMILIES OF k-MERSENNE ANDGENERALIZED k-GAUSSIAN MERSENNE NUMBERS ANDTHEIR POLYNOMIALS
    Kumari, Munesh
    Tanti, Jagmohan
    Prasad, Kalika
    CONTRIBUTIONS TO DISCRETE MATHEMATICS, 2023, 18 (02) : 244 - 260
12345