Classical and quantum orthogonal polynomials in one variable [EBook] / Mourad E.H. Ismail ; with two chapters by Walter Van Assche.
Classical and quantum orthogonal polynomials in one variable [EBook] / Mourad E.H. Ismail ; with two chapters by Walter Van Assche.
The first modern treatment of orthogonal polynomials from the viewpoint of special functions is now available in paperback. Its encyclopedic coverage includes classical topics such as Jacobi, Hermite, Laguerre, Hahn, Charlier and Meixner polynomials as well as those discovered over the last 50 years...
Personal Name(s):  Ismail, Mourad, (author) 

Assche, Walter van, (author)  
Imprint: 
Cambridge :
Cambridge University Press,
2005

Physical Description: 
1 online resource (xviii, 706 pages) 
Note: 
englisch 
ISBN: 
9780521143479 9781107325982 9780521782012 
Series Title: 
Encyclopedia of mathematics and its applications ;
volume 98 
Subject (LOC):  
Full Text 
Table of Contents:
 Preliminaries
 Orthogonal polynomials
 Differential equations
 Jacobi polynomials
 Some inverse problems
 Discrete orthogonal polynomials
 Zeros and inequalities
 Polynomials orthogonal on the unit circle
 Linearization, connections and integral representations
 The Sheffer classification
 qseries preliminaries
 qsummation theorems
 Some qorthogonal polynomials
 Exponential and qBessel functions
 The AskeyWilson polynomials
 The AskeyWilson operators
 qHermite polynomials on the unit circle
 Discrete qorthogonal polynomials
 Fractional and qfractional calculus
 Polynomial solutions to functional equations
 Some indeterminate moment problems
 The RiemannHilbert problem
 Multiple orthogonal polynomials
 Research problems.