q-Classical Orthogonal Polynomials: A General Difference Calculus Approach

被引:0
|
作者
R. S. Costas-Santos
F. Marcellán
机构
[1] University of California,Department of Mathematics
[2] Universidad Carlos III de Madrid,Departamento de Matemáticas
来源
关键词
Classical orthogonal polynomials; Discrete orthogonal polynomials; -Polynomials; Characterization theorems; Rodrigues operator; 33C45; 33D45;
D O I
暂无
中图分类号
学科分类号
摘要
It is well known that the classical families of orthogonal polynomials are characterized as the polynomial eigenfunctions of a second order homogeneous linear differential/difference hypergeometric operator with polynomial coefficients.
引用
收藏
页码:107 / 128
页数:21
相关论文
共 50 条
  • [21] On (p, q)-classical orthogonal polynomials and their characterization theorems
    Masjed-Jamei, M.
    Soleyman, F.
    Area, I.
    Nieto, J. J.
    ADVANCES IN DIFFERENCE EQUATIONS, 2017,
  • [22] A characterization of the classical orthogonal discrete and q-polynomials
    Alfaro, M.
    Alvarez-Nodarse, R.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 201 (01) : 48 - 54
  • [23] On a structure formula for classical q-orthogonal polynomials
    Koepf, W
    Schmersau, D
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2001, 136 (1-2) : 99 - 107
  • [24] Orthogonal polynomials satisfying Q-difference equations
    Haine, Luc
    Bilinear Integrable Systems: From Classical to Quatum, Continuous to Discrete, 2006, 201 : 97 - 112
  • [25] Characterizations of the Symmetric T(θ, q)-Classical Orthogonal q-Polynomials
    Bouras, B.
    Habbachi, Y.
    Marcellan, F.
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2022, 19 (02)
  • [26] CLASSICAL ORTHOGONAL POLYNOMIALS - A FUNCTIONAL-APPROACH
    MARCELLAN, F
    BRANQUINHO, A
    PETRONILHO, J
    ACTA APPLICANDAE MATHEMATICAE, 1994, 34 (03) : 283 - 303
  • [27] Inequalities for Extreme Zeros of Some Classical Orthogonal and q-orthogonal Polynomials
    Driver, K.
    Jordaan, K.
    MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 2013, 8 (01) : 48 - 59
  • [28] Diverse characterizations of Q-Dunkl classical orthogonal polynomials
    Souissi, Jihad
    Hamdi, Sabrine
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2024, 30 (09) : 1253 - 1284
  • [29] THE UMBRAL CALCULUS AND ORTHOGONAL POLYNOMIALS
    KHOLODOV, AN
    ACTA APPLICANDAE MATHEMATICAE, 1990, 19 (01) : 1 - 54
  • [30] Characterization of q-Dunkl-classical symmetric orthogonal q-polynomials
    Baghdadi Aloui
    Jihad Souissi
    The Ramanujan Journal, 2022, 57 : 1355 - 1365