Combinatorics of generalized Tchebycheff polynomials

被引:4
|
作者
Kim, D [1 ]
Zeng, J
机构
[1] Korea Adv Inst Sci & Technol, Dept Math, Taejon 305701, South Korea
[2] Univ Lyon 1, Inst Girard Desargues, F-69622 Villeurbanne, France
关键词
D O I
10.1016/S0195-6698(03)00046-5
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
By considering a family of orthogonal polynomials generalizing the Tchebycheff polynomials of the second kind we refine the corresponding results of De Sainte-Catherine and Viennot on Tchebycheff polynomials of the second kind (Lecture Notes in Mathematics, vol. 1171, 1985, Springer-Verlag, 120). (C) 2003 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:499 / 509
页数:11
相关论文
共 50 条
  • [31] On a general formula in the theory tchebycheff polynomials and its applications
    Shohat, J.
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1927, 29 (1-4) : 569 - 583
  • [32] Combinatorics of orthogonal polynomials of type RI
    Kim, Jang Soo
    Stanton, Dennis
    RAMANUJAN JOURNAL, 2023, 61 (02): : 329 - 390
  • [33] The combinatorics of Meixner polynomials: Linearization coefficients
    de Medicis, A
    EUROPEAN JOURNAL OF COMBINATORICS, 1998, 19 (03) : 355 - 367
  • [34] On the combinatorics of the Boros-Moll polynomials
    William Y. C. Chen
    Sabrina X. M. Pang
    Ellen X. Y. Qu
    The Ramanujan Journal, 2010, 21 : 41 - 51
  • [35] COMBINATORICS OF Q-CHARLIER POLYNOMIALS
    DEMEDICIS, A
    STANTON, D
    WHITE, D
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 1995, 69 (01) : 87 - 114
  • [36] On the combinatorics of the Boros-Moll polynomials
    Chen, William Y. C.
    Pang, Sabrina X. M.
    Qu, Ellen X. Y.
    RAMANUJAN JOURNAL, 2010, 21 (01): : 41 - 51
  • [37] Combinatorics and preservation of conically stable polynomials
    Codenotti, Giulia
    Gardoll, Stephan
    Theobald, Thorsten
    JOURNAL OF ALGEBRAIC COMBINATORICS, 2023, 58 (03) : 811 - 836
  • [38] Quadratic polynomials and combinatorics of the principal nest
    Pérez, RA
    INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2005, 54 (06) : 1661 - 1695
  • [39] Combinatorics and preservation of conically stable polynomials
    Giulia Codenotti
    Stephan Gardoll
    Thorsten Theobald
    Journal of Algebraic Combinatorics, 2023, 58 : 811 - 836
  • [40] BIPARTITIONAL POLYNOMIALS AND THEIR APPLICATIONS IN COMBINATORICS AND STATISTICS
    CHARALAMBIDES, CA
    DISCRETE MATHEMATICS, 1981, 34 (01) : 81 - 84