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1939; 432 pp; softcover
fourth edition 1975; tenth printing 1998; eleventh printing 2003 with corrections
List Price: US$54
Member Price: US$43.20
Order Code: COLL/23
This first detailed systematic treatment of orthogonal polynomials continues as a bestseller in the Colloquium Series.
"This is the first detailed systematic treatment of ... (a) the asymptotic behaviour of orthogonal polynomials, by various methods, with applications, in particular, to the `classical' polynomials of Legendre, Jacobi, Laguerre and Hermite; (b) a detailed study of expansions in series of orthogonal polynomials, regarding convergence and summability; (c) a detailed study of orthogonal polynomials in the complex domain; (d) a study of the zeros of orthogonal polynomials, particularly of the classical ones, based upon an extension of Sturm's theorem for differential equations. The book presents many new results; many results already known are presented in generalized or more precise form, with new simplified proofs."
-- Mathematical Reviews
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