A-CASSINI POLYNOMIAL SEQUENCES AND APPLICATIONS

被引：0
|
作者：
Alperin, Roger C. [1 ]
机构：
[1] San Jose State Univ, Dept Math, San Jose, CA 95192 USA
来源：
FIBONACCI QUARTERLY | 2019年 / 57卷 / 01期
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We examine some polynomial solutions to the A-Cassini relation. We show how these solutions are related to trace polynomials, lengths of the diagonals of a regular polygon, and recurrences given by the characteristic polynomial of certain tridiagonal matrices.
引用
收藏
页码：14 / 20
页数：7
相关论文
共 50 条
  • [21] Applications of the Symmetrical Structures of Cassini Ovals
    Grabusts, Peter
    Uzhga-Rebrov, Oleg
    SYMMETRY-BASEL, 2024, 16 (03):
  • [22] POLYNOMIAL REPRESENTATION OF A CLASS OF SEQUENCES
    戴宗铎
    Science Bulletin, 1987, (10) : 649 - 654
  • [23] COMPLETE SEQUENCES OF POLYNOMIAL VALUES
    GRAHAM, RL
    DUKE MATHEMATICAL JOURNAL, 1964, 31 (02) : 275 - &
  • [24] DETERMINANT POLYNOMIAL-SEQUENCES
    LI, ZM
    CHINESE SCIENCE BULLETIN, 1989, 34 (19): : 1595 - 1599
  • [25] Odd and Even Lidstone-type polynomial sequences. Part 2: applications
    Costabile, Francesco Aldo
    Gualtieri, Maria Italia
    Napoli, Anna
    CALCOLO, 2020, 57 (01)
  • [26] Polynomial values in Fibonacci sequences
    Ostrov, Adi
    Neftin, Danny
    Berman, Avi
    Elrazik, Reyad A.
    INVOLVE, A JOURNAL OF MATHEMATICS, 2020, 13 (04): : 597 - 605
  • [27] On the Complexity of Polynomial Recurrence Sequences
    S. S. Marchenkov
    Problems of Information Transmission, 2018, 54 : 258 - 262
  • [28] Odd and Even Lidstone-type polynomial sequences. Part 2: applications
    Francesco Aldo Costabile
    Maria Italia Gualtieri
    Anna Napoli
    Calcolo, 2020, 57
  • [29] On the Complexity of Polynomial Recurrence Sequences
    Marchenkov, S. S.
    PROBLEMS OF INFORMATION TRANSMISSION, 2018, 54 (03) : 258 - 262
  • [30] ON POLYNOMIAL IDENTITIES FOR RECURSIVE SEQUENCES
    Martinjak, I.
    Vrsaljko, I.
    MISKOLC MATHEMATICAL NOTES, 2017, 18 (01) : 327 - 336
12345