Continued fractions over an inner product space
Author:
F. A. Roach
Journal:
Proc. Amer. Math. Soc. 24 (1970), 576-582
MSC:
Primary 40A15
DOI:
https://doi.org/10.1090/S0002-9939-1970-0412654-5
MathSciNet review:
0412654
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References | Similar Articles | Additional Information
- W. T. Scott and H. S. Wall, On the convergence and divergence of continued fractions, Amer. J. Math. 69 (1947), 551–561. MR 21137, DOI https://doi.org/10.2307/2371883
- W. J. Thron, Twin convergence regions for continued fractions $b_0+K(1/b_n)$. II, Amer. J. Math. 71 (1949), 112–120. MR 27354, DOI https://doi.org/10.2307/2372099
- E. B. Van Vleck, On the convergence of continued fractions with complex elements, Trans. Amer. Math. Soc. 2 (1901), no. 3, 215–233. MR 1500565, DOI https://doi.org/10.1090/S0002-9947-1901-1500565-4 H. von Koch, Sur un théorème de Steltjes et sur les fractions continues, Bull. Soc. Math. France 23 (1895), 23-40.
- H. S. Wall, Analytic Theory of Continued Fractions, D. Van Nostrand Company, Inc., New York, N. Y., 1948. MR 0025596 J. Worpitzky, Untersuchungen über die Entwickelung der monodronen und monogenen Funktionen durch Kettenbrüche, Friedrichs-Gymnasium und Realschule, Jahresbericht, Berlin, 1865, pp. 3-39.
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© Copyright 1970
American Mathematical Society