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- W2029895988 abstract "CONTENTSIntroductionChapter I. Auxiliary results § 1. An integral transform § 2. Generalized Faber polynomials § 3. Asymptotic approximation by polynomials § 4. A boundary value problemChapter II. Asymptotic properties of orthogonal polynomials § 1. Extremal properties and asymptotic behaviour of the leading coefficient § 2. Asymptotic formulae § 3. An estimate of an orthogonal polynomial inside the domain § 4. A second derivation of the estimates inside the domain § 5. Polynomials orthogonal on a circleChapter III. Fourier series in orthogonal polynomials § 1. Conditions for convergence inside the domain § 2. The rate of convergence inside the domain § 3. Convergence in the closed domain § 4. Representation of analytic functions under smoothness conditions on the contour and weightChapter IV. Some results on the Steklov problem § 1. The Steklov problem in the theory of orthogonal polynomials § 2. Boundedness conditions and estimates of the growth of polynomials orthogonal on a contour § 3. Asymptotic properties of polynomials orthogonal on a contour when the weight function becomes infinite at isolated points § 4. Asymptotic properties of polynomials orthogonal on a contour when the weight function has isolated zeros § 5. ExampleReferences" @default.
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- W2029895988 date "1966-04-30" @default.
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- W2029895988 title "FUNDAMENTAL PROPERTIES OF POLYNOMIALS ORTHOGONAL ON A CONTOUR" @default.
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