Orthogonal Polynomials by Gabor Szego

Orthogonal Polynomials by Gabor Szego

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

Biography of George Polya
Born in Budapest, December 13, 1887, George Polya initially studied law, then languages and literature in Budapest. He came to mathematics in order to understand philosophy, but the subject of his doctorate in 1912 was in probability theory and he promptly abandoned philosophy.
After a year in Gottingen and a short stay in Paris, he received an appointment at the ETH in Zurich. His research was multi-faceted, ranging from series, probability, number theory and combinatorics to astronomy and voting systems. Some of his deepest work was on entire functions. He also worked in conformal mappings, potential theory, boundary value problems, and isoperimetric problems in mathematical physics, as well as heuristics late in his career. When Polya left Europe in 1940, he first went to Brown University, then two years later to Stanford, where he remained until his death on September 7, 1985.

Biography of Gabor Szego
Born in Kunhegyes, Hungary, January 20, 1895, Szego studied in Budapest and Vienna, where he received his Ph. D. in 1918, after serving in the Austro-Hungarian army in the First World War. He became a privatdozent at the University of Berlin and in 1926 succeeded Knopp at the University of K nigsberg. It was during his time in Berlin that he and Polya collaborated on their great joint work, the Problems and Theorems in Analysis. Szego's own research concentrated on orthogonal polynomials and Toeplitz matrices. With the deteriorating situation in Germany at that time, he moved in 1934 to Washington University, St. Louis, where he remained until 1938, when he moved to Stanford. As department head at Stanford, he arranged for Polya to join the Stanford faculty in 1942. Szego remained at Stanford until his death on August 7, 1985.

SKU	Unavailable
ISBN 13	9780821810231
ISBN 10	0821810235
Title	Orthogonal Polynomials
Author	Gabor Szego
Series	Colloquium Publications
Condition	Unavailable
Binding Type	Paperback
Publisher	American Mathematical Society
Year published	1939-07-30
Number of pages	432
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.