Orthogonal Polynomials (Paperback, 4 Rev ed)

•Preliminaries
•Definition of orthogonal polynomials; principal examples
•General properties of orthogonal polynomials
•Jacobi polynomials
•Laguerre and Hermite polynomials
•Zeros of orthogonal polynomials
•Inequalities
•Asymptotic properties of the classical polynomials
•Expansion problems associated with the classical polynomials
•Representation of positive functions
•Polynomials orthogonal on the unit circle
•Asymptotic properties of general orthogonal polynomials
•Expansion problems associated with general orthogonal polynomials
•Interpolation
•Mechanical quadrature
•Polynomials orthogonal on an arbitrary curve
•Problems and exercises
•Further problems and exercises
•Appendix
•List of references
•Further references
•Index