Encyclopedia of Special Functions: The Askey-Bateman Project: Volume 1, Univariate Orthogonal Polynomials

Résumé
This is the first of three volumes that form the Encyclopedia of Special Functions, an extensive update of the Bateman Manuscript Project. Volume 1 contains most of the material on orthogonal polynomials, from the classical orthogonal polynomials of Hermite, Laguerre and Jacobi to the Askey-Wilson polynomials, which are the most general basic hypergeometric orthogonal polynomials. Separate chapters cover orthogonal polynomials on the unit circle and matrix orthogonal polynomials, with detailed results about matrix-valued Jacobi polynomials. A final chapter on moment problems provides many examples of indeterminate moment problems. A thorough bibliography rounds off what will be an essential reference.