The Classical Orthogonal Polynomials
Download The Classical Orthogonal Polynomials PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get The Classical Orthogonal Polynomials book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages.
Classical and Quantum Orthogonal Polynomials in One Variable
Author: Mourad Ismail
language: en
Publisher: Cambridge University Press
Release Date: 2005-11-21
The first modern treatment of orthogonal polynomials from the viewpoint of special functions is now available in paperback.
The Classical Orthogonal Polynomials
Author: Brian George Spencer Doman
language: en
Publisher: World Scientific Publishing Company
Release Date: 2015-09-18
This book defines sets of orthogonal polynomials and derives a number of properties satisfied by any such set. It continues by describing the classical orthogonal polynomials and the additional properties they have. The first chapter defines the orthogonality condition for two functions. It then gives an iterative process to produce a set of polynomials which are orthogonal to one another and then describes a number of properties satisfied by any set of orthogonal polynomials. The classical orthogonal polynomials arise when the weight function in the orthogonality condition has a particular form. These polynomials have a further set of properties and in particular satisfy a second order differential equation. Each subsequent chapter investigates the properties of a particular polynomial set starting from its differential equation.
The Classical Orthogonal Polynomials
Author: Brian George Spencer Doman
language: en
Publisher: World Scientific
Release Date: 2015-09-18
This book defines sets of orthogonal polynomials and derives a number of properties satisfied by any such set. It continues by describing the classical orthogonal polynomials and the additional properties they have.The first chapter defines the orthogonality condition for two functions. It then gives an iterative process to produce a set of polynomials which are orthogonal to one another and then describes a number of properties satisfied by any set of orthogonal polynomials. The classical orthogonal polynomials arise when the weight function in the orthogonality condition has a particular form. These polynomials have a further set of properties and in particular satisfy a second order differential equation.Each subsequent chapter investigates the properties of a particular polynomial set starting from its differential equation.