On classes of univalent continued fractions

Authors:
T. L. Hayden and E. P. Merkes

Journal:
Proc. Amer. Math. Soc. **16** (1965), 252-257

MSC:
Primary 30.25; Secondary 30.42

DOI:
https://doi.org/10.1090/S0002-9939-1965-0177099-2

MathSciNet review:
0177099

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References | Similar Articles | Additional Information

**[1]**F. V. Atkinson,*A value region problem occurring in the theory of continued fractions*, Technical Report, Mathematics Research Center, University of Wisconsin, Madison, Wis., 1963.**[2]**R. E. Lane and H. S. Wall,*Continued fractions with absolutely convergent even and odd parts*, Trans. Amer. Math. Soc.**67**(1949), 366-380. MR**0032034 (11:244b)****[3]**W. Leighton and W. T. Scott,*A general continued fraction expansion*, Bull. Amer. Math. Soc.**45**(1939), 596-605. MR**0000041 (1:7f)****[4]**E. P. Merkes,*Bounded J-fractions and univalence*, Michigan Math. J.**6**(1959), 395-400. MR**0117325 (22:8106)****[5]**E. P. Merkes and W. T. Scott,*On univalence of a continued fraction*, Pacific J. Math.**10**(1960), 1361-1369. MR**0121491 (22:12229)****[6]**O. Perron,*Über ein Schlichtheitsschranke von James S. Thale*, Bayer. Akad. Wiss. Math.-Natur. Kl. S.-B.**1956**(1957), 233-236. MR**0084583 (18:884i)****[7]**J. S. Thale,*Univalence of continued fractions and Stieltjes transforms*, Proc. Amer. Math. Soc.**7**(1956), 232-244. MR**0077589 (17:1063a)****[8]**H. S. Wall,*Analytic theory of continued fractions*, Van Nostrand, New York, 1948. MR**0025596 (10:32d)**

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DOI:
https://doi.org/10.1090/S0002-9939-1965-0177099-2

Article copyright:
© Copyright 1965
American Mathematical Society