Colloquium Publications: Orthogonal Polynomials by American Mathematical Society and Gabor Szegő (1939, Trade Paperback)

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ORTHOGONAL POLYNOMIALS (COLLOQUIUM PUBLICATIONS) (COLLOQUIUM PUBLICATIONS (AMER MATHEMATICAL SOC)) By Gabor Szego **BRAND NEW**.

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Product Identifiers

PublisherAmerican Mathematical Society
ISBN-100821810235
ISBN-139780821810231
eBay Product ID (ePID)320286

Product Key Features

Number of Pages432 Pages
Publication NameOrthogonal Polynomials
LanguageEnglish
SubjectMathematical Analysis
Publication Year1939
FeaturesReprint
TypeTextbook
Subject AreaMathematics
AuthorAmerican Mathematical Society, Gabor Szegő
SeriesColloquium Publications
FormatTrade Paperback

Dimensions

Item Height0.9 in
Item Weight27.6 Oz
Item Length10.1 in
Item Width6.9 in

Additional Product Features

Intended AudienceScholarly & Professional
LCCN39-033497
ReviewsThis 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
Series Volume Number23
Dewey Decimal515/.55
Table Of Content-Preliminaries -Definition of orthogonal polynomials; principal examples -General properties of orthogonal polynomials -Jacobi polynomials -Laguerre and Hermite polynomials -Zeros of orthogonal polynomials -Inequalities -Asymptotic properties of the classical polynomials -Expansion problems associated with the classical polynomials -Representation of positive functions -Polynomials orthogonal on the unit circle -Asymptotic properties of general orthogonal polynomials -Expansion problems associated with general orthogonal polynomials -Interpolation -Mechanical quadrature -Polynomials orthogonal on an arbitrary curve -Problems and exercises -Further problems and exercises -Appendix -List of references -Further references -Index
Edition DescriptionReprint
SynopsisThis first detailed systematic treatment of orthogonal polynomials continues as a bestseller in the Colloquium Series
LC Classification NumberQA404.5.S9 1975

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