Regularity of growth and the class 𝒮

Author:

Drasin D.

Abstract

Given 1 / 2 μ ρ 1/2\leq \mu \leq \rho \leq \infty , there is an entire function f ( z ) f(z) in the Speiser class S \mathcal {S} of order ρ \rho , lower order μ \mu . f f may have as few as three singular values.

Publisher

American Mathematical Society (AMS)

Subject

Geometry and Topology

Reference8 articles.

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2. On the singularities of the inverse to a meromorphic function of finite order;Bergweiler, Walter;Rev. Mat. Iberoamericana,1995

3. Meromorphic functions with large sums of deficiencies;Drasin, David;Advances in Math.,1975

4. Dynamical properties of some classes of entire functions;Erëmenko, A. È.;Ann. Inst. Fourier (Grenoble),1992

5. The distribution of the 𝑎-points of certain meromorphic functions;Künzi, H. P.;Michigan Math. J.,1959

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Hyperbolic entire functions with bounded Fatou components;Commentarii Mathematici Helvetici;2015

2. Regularity of growth and the class : Correction;Conformal Geometry and Dynamics of the American Mathematical Society;2008-11-20

3. Rational Deficient Functions of Derivatives of Mappings in the Classes S and B;Computational Methods and Function Theory;2008-05-26

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