Mixed type multiple orthogonal polynomials: Perfectness and interlacing properties of zeros

被引：7
|
作者：
Fidalgo, U. [1 ]
Medina Peralta, S. [1 ]
Minguez Ceniceros, J. [2 ]
机构：
[1] Univ Carlos III Madrid, Dept Math, Madrid 28911, Spain
[2] Univ La Rioja, Dept Math & Computat, Logrono 26004, La Rioja, Spain
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2013年 / 438卷 / 03期
关键词：
Multiple orthogonal polynomials; Interlacing zeros; AT systems; NIKISHIN SYSTEMS;
D O I：
10.1016/j.laa.2012.08.034
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The zeros of orthogonal polynomials on the real line are simple, lie in the interior of the convex hull of the support of the measure and the zeros of consecutive orthogonal polynomials interlace. We study a large class of mixed type multiple orthogonal polynomials for which similar properties hold. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：1229 / 1239
页数：11
相关论文
共 50 条
  • [21] Interlacing of zeros of period polynomials
    Breland, Leanna
    Le, Kevin Huu
    Ni, Jingchen
    O'brien, Laura
    Xue, Hui
    Zhu, Daozhou
    JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2025, 77 (01) : 255 - 299
  • [22] INTERLACING PROPERTIES OF REAL ZEROS OF GENERAL LAGUERRE POLYNOMIALS
    Driver, Kathy
    Muldoon, Martin E.
    JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, 2016, 7 (01): : 1 - 17
  • [23] GLOBAL PROPERTIES OF ZEROS FOR SOBOLEV-TYPE ORTHOGONAL POLYNOMIALS
    PEREZ, TE
    PINAR, MA
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1993, 49 (1-3) : 225 - 232
  • [24] Some properties of zeros of Sobolev-type orthogonal polynomials
    Alfaro, M
    Lopez, G
    Rezola, ML
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1996, 69 (01) : 171 - 179
  • [25] Electrostatic Partners and Zeros of Orthogonal and Multiple Orthogonal Polynomials
    Martinez-Finkelshtein, Andrei
    Orive, Ramon
    Sanchez-Lara, Joaquin
    CONSTRUCTIVE APPROXIMATION, 2023, 58 (02) : 271 - 342
  • [26] Electrostatic Partners and Zeros of Orthogonal and Multiple Orthogonal Polynomials
    Andrei Martínez-Finkelshtein
    Ramón Orive
    Joaquín Sánchez-Lara
    Constructive Approximation, 2023, 58 : 271 - 342
  • [27] Interlacing of zeros of linear combinations of classical orthogonal polynomials from different sequences
    Driver, Kathy
    Jordaan, Kerstin
    Mbuyi, Norbert
    APPLIED NUMERICAL MATHEMATICS, 2009, 59 (10) : 2424 - 2429
  • [28] Asymptotic and interlacing properties of zeros of exceptional Jacobi and Laguerre polynomials
    Gomez-Ullate, David
    Marcellan, Francisco
    Milson, Robert
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 399 (02) : 480 - 495
  • [29] Interlacing of zeros of odd period polynomials
    Ko, Grace
    Mackenzie, Jennifer
    Xue, Hui
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2025, 543 (02)
  • [30] REFINED INTERLACING PROPERTIES FOR ZEROS OF PARAORTHOGONAL POLYNOMIALS ON THE UNIT CIRCLE
    Castillo, K.
    Petronilho, J.
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 146 (08) : 3285 - 3294
12345