On the domain of normality of an attractive fixpoint
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- by P. Bhattacharyya PDF
- Trans. Amer. Math. Soc. 153 (1971), 89-98 Request permission
Abstract:
It is proved that an entire function of order less than $\frac {1}{2}$ has no unbounded immediate domains of attraction for any of its fixpoints. Estimates for the growth of functions with large infinite domains of attraction (e.g. including half planes) are obtained. It is shown that an entire function mapping an infinite domain into itself has polynomial growth in such domains.References
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Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 153 (1971), 89-98
- MSC: Primary 30.55
- DOI: https://doi.org/10.1090/S0002-9947-1971-0268377-4
- MathSciNet review: 0268377