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.
Extensive update of the Bateman Manuscript Project. Volume 1 covers orthogonal polynomials and moment problems.About the AuthorMourad E. H. Ismail is Research Professor at the University of Central Florida.
Book InformationISBN 9780521197427
Author Mourad E. H. IsmailFormat Hardback
Page Count 398
Imprint Cambridge University PressPublisher Cambridge University Press
Weight(grams) 810g
Dimensions(mm) 250mm * 177mm * 26mm