Separate convergence of general -fractions

Author:
W. J. Thron

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

MSC:
Primary 40A15

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

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*, Lecture Notes in Math., vol. 1406, Springer-Verlag, Berlin, 1989, pp. 88-115. MR**1034964 (91b:30016)****[3]**H. M. Schwartz,*A class of continued fractions*, Duke Math. J.**6**(1940), 48-65. MR**0001321 (1:217e)****[4]**W. J. Thron,*Some results on separate convergence of continued fractions*, Lecture Notes in Math. (to appear) MR**1071773 (91m:30006)****[5]**-,*Order and type of entire functions arising from separately convergent continued fractions*, J. Comput. Appl. Math. (to appear). MR**1091796 (92c:30003)**

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Additional Information

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

Keywords:
Continued fractions,
general -fractions,
separate convergence

Article copyright:
© Copyright 1991
American Mathematical Society