Continued fractions with applications

Bibliographic Information

Continued fractions with applications

Lisa Lorentzen, Haakon Waadeland

(Studies in computational mathematics, 3)

North-Holland , Distributors for the U.S. and Canada, Elsevier Science Pub. Co., 1992

Available at  / 35 libraries

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Note

Includes bibliographical references and index

Description and Table of Contents

Description

This book is aimed at two kinds of readers: firstly, people working in or near mathematics, who are curious about continued fractions; and secondly, senior or graduate students who would like an extensive introduction to the analytic theory of continued fractions. The book contains several recent results and new angles of approach and thus should be of interest to researchers throughout the field. The first five chapters contain an introduction to the basic theory, while the last seven chapters present a variety of applications. Finally, an appendix presents a large number of special continued fraction expansions. This very readable book also contains many valuable examples and problems.

Table of Contents

I. Introductory Examples. II. More Basics. III. Convergence Criteria. IV. Continued Fractions and Three-Term Recurrence Relations. V. Correspondence of Continued Fractions. VI. Hypergeometric Functions. VII. Moments and Orthogonality. VIII. Pade Approximants. IX. Some Applications in Number Theory. X. Zero-free Regions. XI. Digital Filters and Continued Fractions. XII. Applications to Some Differential Equations. Appendix: Some Continued Fraction Expansions. References. Index.

by "Nielsen BookData"

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Details

  • NCID
    BA18328051
  • ISBN
    • 0444892656
  • LCCN
    92008592
  • Country Code
    ne
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Amsterdam ; New York,New York, N.Y.
  • Pages/Volumes
    xvi, 606 p.
  • Size
    24 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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