Progress in Approximation Theory
An International Perspective
Editors: Gonchar, A.A., Saff, E.B. (Eds.)
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- About this book
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Designed to give a contemporary international survey of research activities in approximation theory and special functions, this book brings together the work of approximation theorists from North America, Western Europe, Asia, Russia, the Ukraine, and several other former Soviet countries. Contents include: results dealing with q-hypergeometric functions, differencehypergeometric functions and basic hypergeometric series with Schur function argument; the theory of orthogonal polynomials and expansions, including generalizations of Szegö type asymptotics and connections with Jacobi matrices; the convergence theory for Padé and Hermite-Padé approximants, with emphasis on techniques from potential theory; material on wavelets and fractals and their relationship to invariant measures and nonlinear approximation; generalizations of de Brange's in equality for univalent functions in a quasi-orthogonal Hilbert space setting; applications of results concerning approximation by entire functions and the problem of analytic continuation; and other topics.
- Table of contents (19 chapters)
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Difference Hypergeometric Functions
Pages 1-35
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Padé Approximants for Some q-Hypergeometric Functions
Pages 37-50
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Summation Theorems for Basic Hypergeometric Series of Schur Function Argument
Pages 51-77
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Orthogonal Polynomials, Recurrences, Jacobi Matrices, and Measures
Pages 79-104
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Szegő Type Asymptotics for Minimal Blaschke Products
Pages 105-126
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Table of contents (19 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Progress in Approximation Theory
- Book Subtitle
- An International Perspective
- Editors
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- A.A. Gonchar
- E.B. Saff
- Series Title
- Springer Series in Computational Mathematics
- Series Volume
- 19
- Copyright
- 1992
- Publisher
- Springer-Verlag New York
- Copyright Holder
- Springer-Verlag New York, Inc.
- eBook ISBN
- 978-1-4612-2966-7
- DOI
- 10.1007/978-1-4612-2966-7
- Softcover ISBN
- 978-1-4612-7737-8
- Series ISSN
- 0179-3632
- Edition Number
- 1
- Number of Pages
- XVIII, 451
- Topics
