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Analytic theory of continued fractions

Author: H S Wall
Publisher: Providence, R.I. : American Mathematical Society, 2000.
Edition/Format:   Print book : EnglishView all editions and formats

Focuses on the study of continued fractions in the theory of analytic functions, rather than on arithmetical aspects. This book provides discussions of orthogonal polynomials, power series, infinite  Read more...


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Document Type: Book
All Authors / Contributors: H S Wall
ISBN: 0821821067 9780821821060
OCLC Number: 43311799
Notes: Originally published: New York : D. Van Nostrand Co., 1948.
Description: xiii, 433 pages : illustrations ; 24 cm
Contents: Part I: Convergence Theory: The continued fraction as a product of linear fractional transformations Convergence theorems Convergence of continued fractions whose partial denominators are equal to unity Introduction to the theory of positive definite continued fractions Some general convergence theorems Stieltjes type continued fractions Extensions of the parabola theorem The value region problem Part II: Function Theory: J-fraction expansions for rational functions Theory of equations J-fraction expansions for power series Matrix theory of continued fractions Continued fractions and definite integrals The moment problem for a finite interval Bounded analytic functions Hausdorff summability The moment problem for an infinite interval The continued fraction of Gauss Stieltjes summability The Pade table Bibliography Index.
Responsibility: by H.S. Wall.


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