Continued fractions over an inner product space
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- by F. A. Roach
- Proc. Amer. Math. Soc. 24 (1970), 576-582
- DOI: https://doi.org/10.1090/S0002-9939-1970-0412654-5
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References
- 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 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 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 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 Co., 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.
Bibliographic Information
- © Copyright 1970 American Mathematical Society
- 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