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Synopsis
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.
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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; 1265.
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Softcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-05376 3540180230 Sprache: Englisch Gewicht in Gramm: 550. Seller Inventory # 2491628
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Asymptotics for Orthogonal Polynomials (Lecture Notes in Mathematics)
Published by
Springer, Berlin, Germany, 1987
ISBN 10: 3540180230
ISBN 13: 9783540180234
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Asymptotics for Orthogonal Polynomials
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Asymptotics for Orthogonal Polynomials (Paperback)
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Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin, 1987
ISBN 10: 3540180230
ISBN 13: 9783540180234
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Paperback. Condition: new. Paperback. 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 Schroedinger operators, illustrating the close interaction with different branches of applied mathematics. Recently there has been a great deal of interest in the theory of orthogonal polynomials. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9783540180234
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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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