Laguerre-Hahn orthogonal polynomials on the real line

被引：4
作者：
Rebocho, Maria Das Neves [1 ,2 ]
机构：
[1] Univ Beira Interior, Dept Matemat, Rua Marques DAvila & Bolama, P-6201001 Covilha, Portugal
[2] Univ Coimbra, Dept Math, CMUC, P-3001501 Coimbra, Portugal
来源：
RANDOM MATRICES-THEORY AND APPLICATIONS | 2020年 / 9卷 / 01期
关键词：
Orthogonal polynomials; Stieltjes function; Laguerre-Hahn class; discrete Painleve equations; matrix Sylvester equations; RECURSIVE ASSOCIATED LAGUERRE; DIFFERENTIAL-EQUATIONS; SPECTRAL TRANSFORMATIONS; SYLVESTER EQUATIONS; CONTINUED FRACTIONS; PAINLEVE EQUATIONS; JACOBI; MATRIX; PERTURBATIONS; FORMS;
D O I：
10.1142/S2010326320400018
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A survey is given on sequences of orthogonal polynomials related to Stieltjes functions satisfying a Riccati type differential equation with polynomial coefficients - the so-called Laguerre-Hahn class. The main goal is to describe analytical aspects, focusing on differential equations for those orthogonal polynomials, difference and differential equations for the recurrence coefficients, and distributional equations for the corresponding linear functionals.
引用
收藏
页数：33
相关论文
共 92 条
  • [1] Abou-Kandil H., 2003, SYS CON FDN
  • [2] Symmetric Laguerre-Hahn forms of class s=1
    Alaya, J
    Maroni, P
    [J]. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 1996, 4 (04) : 301 - 320
  • [3] [Anonymous], REND MAT APPL
  • [4] [Anonymous], 1932, Linear transformations in Hilbert space and their applications to analysis
  • [5] [Anonymous], COLLECTED PAPERS
  • [6] [Anonymous], THESIS
  • [7] [Anonymous], LECT NOTES MATH
  • [8] [Anonymous], 1988, THESIS
  • [9] [Anonymous], LECT NOTES PURE APPL
  • [10] [Anonymous], 1985, THESIS
12345678910