On ( p , q ) $(p,q)$ -classical orthogonal polynomials and their characterization theorems

On ( p , q ) $(p,q)$ -classical orthogonal polynomials and their characterization theorems

Abstract In this paper, we introduce a general ( p , q ) $(p, q)$ -Sturm-Liouville difference equation whose solutions are ( p , q ) $(p, q)$ -analogues of classical orthogonal polynomials leading to Jacobi, Laguerre, and Hermite polynomials as ( p , q ) → ( 1 , 1 ) $(p, q) \to(1,1)$ . In this direc...

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Bibliographic Details
Main Authors: M Masjed-Jamei, F Soleyman, I Area, JJ Nieto
Format: Article
Language:English
Published: Springer 2017-06-01
Series:Advances in Difference Equations
Subjects:
( p , q ) $(p,q)$ -Sturm-Liouville problems
( p , q ) $(p,q)$ -classical orthogonal polynomials
( p , q ) $(p,q)$ -Pearson difference equation
( p , q ) $(p,q)$ -integrals
( p , q ) $(p,q)$ -difference operators
Online Access:http://link.springer.com/article/10.1186/s13662-017-1236-9

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http://link.springer.com/article/10.1186/s13662-017-1236-9

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