Sinossi
Recently there has been a great deal of interest in the theory of orthogonal polynomials. The number of books treating the subject, however, is limited. This monograph brings together some results involving the asymptotic behaviour of orthogonal polynomials when the degree tends to infinity, assuming only a basic knowledge of real and complex analysis. An extensive treatment, starting with special knowledge of the orthogonality measure, is given for orthogonal polynomials on a compact set and on an unbounded set. Another possible approach is to start from properties of the coefficients in the three-term recurrence relation for orthogonal polynomials. This is done using the methods of (discrete) scattering theory. A new method, based on limit theorems in probability theory, to obtain asymptotic formulas for some polynomials is also given. Various consequences of all the results are described and applications are given ranging from random matrices and birth-death processes to discrete Schrödinger operators, illustrating the close interaction with different branches of applied mathematics.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Contenuti
Orthogonal polynomials on a compact set.- Asymptotically periodic recurrence coefficients.- Probabilistic proofs of asymptotic formulas.- Orthogonal polynomials on unbounded sets.- Zero distribution and consequences.- Some applications.
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Asymptotics for Orthogonal Polynomials
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Springer-Verlag, Berlin, 1987
ISBN 10: 3540180230
ISBN 13: 9783540180234
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Asymptotics for Orthogonal Polynomials (Lecture Notes in Mathematics)
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Springer, Berlin, Germany, 1987
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Asymptotics for Orthogonal Polynomials. Lecture Notes in Mathematics; 1265.
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Asymptotics for Orthogonal Polynomials (Lecture Notes in Mathematics, 1265)
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Asymptotics for Orthogonal Polynomials
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Springer Berlin Heidelberg Jun 1987, 1987
ISBN 10: 3540180230
ISBN 13: 9783540180234
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Recently there has been a great deal of interest in the theory of orthogonal polynomials. The number of books treating the subject, however, is limited. This monograph brings together some results involving the asymptotic behaviour of orthogonal polynomials when the degree tends to infinity, assuming only a basic knowledge of real and complex analysis. An extensive treatment, starting with special knowledge of the orthogonality measure, is given for orthogonal polynomials on a compact set and on an unbounded set. Another possible approach is to start from properties of the coefficients in the three-term recurrence relation for orthogonal polynomials. This is done using the methods of (discrete) scattering theory. A new method, based on limit theorems in probability theory, to obtain asymptotic formulas for some polynomials is also given. Various consequences of all the results are described and applications are given ranging from random matrices and birth-death processes to discrete Schrödinger operators, illustrating the close interaction with different branches of applied mathematics. 216 pp. Englisch. Codice articolo 9783540180234
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Asymptotics for Orthogonal Polynomials
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Recently there has been a great deal of interest in the theory of orthogonal polynomials. The number of books treating the subject, however, is limited. This monograph brings together some results involving the asymptotic behaviour of orthogonal polynomials. Codice articolo 4883627
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Lecture Notes in Mathematics _ 1265 _ Asymptotics for Orthogonal Polynomials
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Springer Publishing Company, Berlin, 1987
ISBN 10: 3540180230
ISBN 13: 9783540180234
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Asymptotics for Orthogonal Polynomials
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J.B. Metzler, Springer Jun 1987, 1987
ISBN 10: 3540180230
ISBN 13: 9783540180234
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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Recently there has been a great deal of interest in the theory of orthogonal polynomials. The number of books treating the subject, however, is limited. This monograph brings together some results involving the asymptotic behaviour of orthogonal polynomials when the degree tends to infinity, assuming only a basic knowledge of real and complex analysis. An extensive treatment, starting with special knowledge of the orthogonality measure, is given for orthogonal polynomials on a compact set and on an unbounded set. Another possible approach is to start from properties of the coefficients in the three-term recurrence relation for orthogonal polynomials. This is done using the methods of (discrete) scattering theory. A new method, based on limit theorems in probability theory, to obtain asymptotic formulas for some polynomials is also given. Various consequences of all the results are described and applications are given ranging from random matrices and birth-death processes to discrete Schrödinger operators, illustrating the close interaction with different branches of applied mathematics.Springer-Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 216 pp. Englisch. Codice articolo 9783540180234
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Asymptotics for Orthogonal Polynomials
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Springer Berlin Heidelberg, 1987
ISBN 10: 3540180230
ISBN 13: 9783540180234
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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - Recently there has been a great deal of interest in the theory of orthogonal polynomials. The number of books treating the subject, however, is limited. This monograph brings together some results involving the asymptotic behaviour of orthogonal polynomials when the degree tends to infinity, assuming only a basic knowledge of real and complex analysis. An extensive treatment, starting with special knowledge of the orthogonality measure, is given for orthogonal polynomials on a compact set and on an unbounded set. Another possible approach is to start from properties of the coefficients in the three-term recurrence relation for orthogonal polynomials. This is done using the methods of (discrete) scattering theory. A new method, based on limit theorems in probability theory, to obtain asymptotic formulas for some polynomials is also given. Various consequences of all the results are described and applications are given ranging from random matrices and birth-death processes to discrete Schrödinger operators, illustrating the close interaction with different branches of applied mathematics. Codice articolo 9783540180234
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