A result on nearness of functions and their regular $C$-fraction expansions
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- by Lisa Jacobsen and Haakon Waadeland PDF
- Proc. Amer. Math. Soc. 106 (1989), 741-750 Request permission
Abstract:
We shall prove a "nearness"-result of the following type. If $f(w)$ is a holomorphic function in $\Omega = \{ w \in {\mathbf {C}};\left | {\arg (1 + 4w)} \right | < \pi \}$ and "sufficiently near" the function $(\sqrt {1 + 4w} - 1)/2$, then $f(w)$ has a regular C-fraction expansion $K({a_n}w/1)$ where ${a_n} \to 1$.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- 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