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Asymptotics for Orthogonal Polynomials
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Asymptotics for Orthogonal Polynomials Paperback - 1987 - 1987th Edition

by Walter Van Assche


From the publisher

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 Schrdinger operators, illustrating the close interaction with different branches of applied mathematics.

Details

  • Title Asymptotics for Orthogonal Polynomials
  • Author Walter Van Assche
  • Binding Paperback
  • Edition number 1987th
  • Edition 1987
  • Pages 206
  • Volumes 1
  • Language ENG
  • Publisher Springer
  • Date 1987-06-24
  • ISBN 9783540180234 / 3540180230
  • Weight 0.69 lbs (0.31 kg)
  • Dimensions 9.21 x 6.14 x 0.46 in (23.39 x 15.60 x 1.17 cm)
  • Dewey Decimal Code 515
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Asymptotics for Orthogonal Polynomials
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Asymptotics for Orthogonal Polynomials

by Assche, Walter Van

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Berlin: Springer-Verlag. Very Good- with no dust jacket; Pages yellowing, light crease top corner . cover. Ink name on title page.. 1987. Hardcover. 3540180230 . 8vo; 201 pages .
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Asymptotics for Orthogonal Polynomials (Lecture Notes in Mathematics)
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Asymptotics for Orthogonal Polynomials (Lecture Notes in Mathematics)

by Van Assche, Walter

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Berlin, Germany: Springer, 1987. Book. Very Good+. Soft cover. First Edition. Minor wear; light age toning to page edges; previous owner's name on front end paper; otherwise a solid, clean copy with no marking or underlining; collectible condition..
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Asymptotics for Orthogonal Polynomials
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Asymptotics for Orthogonal Polynomials

by Walter Van Assche

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Asymptotics for Orthogonal Polynomials
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Asymptotics for Orthogonal Polynomials

by Walter van Assche

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3540180230
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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)

by Van Assche, Walter

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Asymptotics for Orthogonal Polynomials (Lecture Notes in Mathematics)
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Asymptotics for Orthogonal Polynomials (Lecture Notes in Mathematics)

by Walter Van Assche

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1987
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9783540180234
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3540180230
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