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, zeros of
orthogonal polynomials and matrix orthogonal polynomials, with
detailed results about matrix-valued Jacobi polynomials. A chapter
on moment problems provides many examples of indeterminate moment
problems. A thorough bibliography rounds off what will be an
essential reference.
General
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