Convergence of continued fractions of Stieltjes type

Dawson, David F.

doi:10.1090/S0002-9939-1959-0104080-9

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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Convergence of continued fractions of Stieltjes type
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by David F. Dawson

Proc. Amer. Math. Soc. 10 (1959), 12-17

DOI: https://doi.org/10.1090/S0002-9939-1959-0104080-9

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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
H. S. Wall, Analytic Theory of Continued Fractions, D. Van Nostrand Co., Inc., New York, N. Y., 1948. MR 0025596
H. S. Wall, Some convergence problems for continued fractions, Amer. Math. Monthly 64 (1957), no. 8, 95–103. MR 97668, DOI 10.2307/2308521