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：
Acta Applicandae Mathematicae | 2010年 / 111卷
关键词：
Classical orthogonal polynomials; Discrete orthogonal polynomials; -Polynomials; Characterization theorems; Rodrigues operator; 33C45; 33D45;
D O I：
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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.
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页码：107 / 128
页数：21
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