Separate convergence of general -fractions

Author:
W. J. Thron

Journal:
Proc. Amer. Math. Soc. **111** (1991), 75-80

MSC:
Primary 40A15

MathSciNet review:
1045151

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Abstract: This article is concerned with the separate convergence of the sequences of numerators and denominators of the approximants of the general -fraction

**[1]**Lisa Jacobsen,*A note on separate convergence for continued fractions*, submitted.**[2]**Olav Njåstad,*A survey of some results on separate convergence of continued fractions*, Analytic theory of continued fractions, III (Redstone, CO, 1988) Lecture Notes in Math., vol. 1406, Springer, Berlin, 1989, pp. 88–115. MR**1034964**, 10.1007/BFb0096168**[3]**H. M. Schwartz,*A class of continued fractions*, Duke Math. J.**6**(1940), 48–65. MR**0001321****[4]**W. J. Thron,*Some results on separate convergence of continued fractions*, Computational methods and function theory (Valparaíso, 1989) Lecture Notes in Math., vol. 1435, Springer, Berlin, 1990, pp. 191–200. MR**1071773**, 10.1007/BFb0087908**[5]**W. J. Thron,*Order and type of entire functions arising from separately convergent continued fractions*, J. Comput. Appl. Math.**32**(1990), no. 1-2, 273–279. Extrapolation and rational approximation (Luminy, 1989). MR**1091796**, 10.1016/0377-0427(90)90437-5

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DOI:
http://dx.doi.org/10.1090/S0002-9939-1991-1045151-0

Keywords:
Continued fractions,
general -fractions,
separate convergence

Article copyright:
© Copyright 1991
American Mathematical Society