## Abstract We give a lower bound of the hyperbolic and the Hausdorff dimension of the Julia set of meromorphic functions of finite order under very general conditions (ยฉ 2009 WILEYโVCH Verlag GmbH & Co. KGaA, Weinheim)
The Radius of Starlikeness of Meromorphic Typically Real Functions
โ Scribed by Jintian Dong; Liquan Liu
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 95 KB
- Volume
- 255
- Category
- Article
- ISSN
- 0022-247X
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โฆ Synopsis
Let Q be the class of functions of the form f z s y1rz q c q c z q ะธะธะธ 0 1
< < which are meromorphic in the unit disk z -1 and satisfy there the condition ลฝ . ร 4 ร ลฝ .4 f z / 0 and แฃ z ะธ แฃ f z ) 0 for nonreal z. We determine the radius of starlikeness of order โฃ, yฯฑ -โฃ -1, and the maximal domain of univalence of the class Q.
๐ SIMILAR VOLUMES
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Let f and h be transcendental meromorphic and g a transcendental entire function. It is shown that if h grows slower than g in a suitable sense, then there ลฝ . ลฝ ลฝ .. ลฝ . exists an unbounded sequence z such that f g z s h z . แฎ 2001 Academic n n n Press 1 Supported by Deutscher Akademischer Austausc
In this paper, by studying the counting functions of the common 1-points of meromorphic functions, a more precise relation between the characteristics of meromorphic functions that share three values CM has been obtained. As applications of this, many known results can be improved.