Classical and Quantum Orthogonal Polynomials in One Variable
Classical and Quantum Orthogonal Polynomials in One Variable By Mourad E. H. Ismail
2005 | 706 Pages | ISBN: 0521782015 | PDF | 5 MB
2005 | 706 Pages | ISBN: 0521782015 | PDF | 5 MB
Coverage is encyclopedic in the first modern treatment of orthogonal polynomials from the viewpoint of special functions. It includes classical topics such as Jacobi, Hermite, Laguerre, Hahn, Charlier and Meixner polynomials as well as those (e.g. Askey-Wilson and Al-Salam—Chihara polynomial systems) discovered over the last 50 years and multiple orthogonal polynomials are discussed for the first time in book form. Many modern applications of the subject are dealt with, including birth- and death- processes, integrable systems, combinatorics, and physical models. A chapter on open research problems and conjectures is designed to stimulate further research on the subject.