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Analytic theory of continued fractions

Author: H S Wall
Publisher: New York : D. Van Nostrand Co., 1948.
Series: University series in higher mathematics.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
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Additional Physical Format: Online version:
Wall, H.S. (Hubert Stanley), 1902-
Analytic theory of continued fractions.
New York, D. Van Nostrand Co., 1948
(OCoLC)560276058
Document Type: Book
All Authors / Contributors: H S Wall
OCLC Number: 1033257
Description: xiii, 433 pages : illustrations ; 24 cm.
Contents: pt. I. Convergence Theory 1. The continued fraction as a product of linear fractional transformations --
2. Convergence theorems --
3. Convergence of continued fractions whose partial denominators are equal to unity --
4. Introduction to the theory of positive definite continued fractions --
5. Some general convergence theorems --
6. Stieltjes type continued fractions --
7. Extensions of the parabola theorem --
8. The value region problem --
pt. II. Function theory. 9. J-fraction expansions for rational functions --
10. Theory of equations --
11. J-fraction expansions for power series --
12. Matrix theory of continued fractions --
13. Continued fractions and definite integrals --
14. The moment problem for a finite interval --
15. Bounded analytic functions --
16. Hausdorff summability --
17. The moment problem for an infinite interval --
18. The continued fraction of Gauss --
19. Stieltjes summability --
20. The Padé table.
Series Title: University series in higher mathematics.
Responsibility: by H.S. Wall.

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