- 400 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
About this book
This reference - the proceedings of a research conference held in Loen, Norway - contains information on the analytic theory of continued fractions and their application to moment problems and orthogonal sequences of functions. Uniting the research efforts of many international experts, this volume: treats strong moment problems, orthogonal polynomials and Laurent polynomials; analyses sequences of linear fractional transformations; presents convergence results, including truncation error bounds; considers discrete distributions and limit functions arising from indeterminate moment problems; discusses Szego polynomials and their applications to frequency analysis; describes the quadrature formula arising from q-starlike functions; and covers continued fractional representations for functions related to the gamma function.;This resource is intended for mathematical and numerical analysts; applied mathematicians; physicists; chemists; engineers; and upper-level undergraduate and agraduate students in these disciplines.
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Yes, you can access Continued Fractions and Orthogonal Functions by S. Clement Cooper in PDF and/or ePUB format, as well as other popular books in Mathematics & Functional Analysis. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Cover
- Half Title
- Title Page
- Copyright Page
- Preface
- Table of Contents
- Contributors
- Participants
- 1. Discrete Distribution Functions for Log-Normal Moments
- 2. Recurrence Relations for Orthogonal Functions
- 3. Orthogonal Laurent Polynomials on the Real Line
- 4. Separate Convergence for Log-Normal Modified S-Fractions
- 5. Best Truncation Error Bounds for Continued Fractions K(1/bn), limn→∞ bn = ∞
- 6. Sequences of Linear Fractional Transformations and Reverse Continued Fractions
- 7. An Alternative Way of Using Szegö Polynomials in Frequency Analysis
- 8. Asymptotics of Zeros of Orthogonal and Para-Orthogonal Szegö Polynomials in Frequency Analysis
- 9. Continued Fractions and Iterated Function Systems
- 10. Strip Convergence Regions for Continued Fractions
- 11. Continued Fraction Representations for Functions Related to the Gamma Function
- 12. A Convergence Property for Sequences of Linear Fractional Transformations
- 13. Circular Twin Value Sets for Continued Fractions and How They Imply Convergence
- 14. A Szegö Quadrature Formula Arising From q-Starlike Functions
- 15. Truncation Error for L.F.T. Algorithms {Tn(w)}
- 16. A Limit Theorem in Frequency Analysis
- Index