The Classical Orthogonal Polynomials

✍ Scribed by Doman B.G.S.

Tongue: English
Leaves: 177
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

Singapore: World Scientific, 2015. - 176p.

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.

✦ Subjects

Математика;Математическая физика

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