A result on nearness of functions and their regular -fraction expansions

Authors:
Lisa Jacobsen and Haakon Waadeland

Journal:
Proc. Amer. Math. Soc. **106** (1989), 741-750

MSC:
Primary 30B70; Secondary 40A15

DOI:
https://doi.org/10.1090/S0002-9939-1989-0967487-2

MathSciNet review:
967487

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Abstract: We shall prove a "nearness"-result of the following type. If is a holomorphic function in and "sufficiently near" the function , then has a regular C-fraction expansion where .

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1989-0967487-2

Keywords:
Continued fractions,
-fractions,
regular -fractions,
-fraction expansions

Article copyright:
© Copyright 1989
American Mathematical Society