Products of spherical derivatives and normal functions

Author:

Huaihui Chen,Lappan Peter

Abstract

AbstractChen and Gu [1] have given some results relating to normal families, and, in this paper, we give versions of these results valid for normal functions. In the process, we improve some of our previous results involving products of certain spherical derivatives as they relate to normal functions. Some examples are given to show the sharpness of our results.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics,Statistics and Probability

Reference5 articles.

1. A Heuristic Principle in Complex Function Theory

2. Normal families, orders of zeros, and omitted values;Huaihui;Ann. Acad. Sci. Fenn. Ser. A I Math.,1996

3. Improvement of Marty's criterion and its application;Huaihui;Science in China,1993

4. The spherical derivative and normal functions

5. Bloch's principle and normal criterion;Xue-Cheung;Science in China,1989

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1. Normal functions and products of spherical derivatives;Analysis and Mathematical Physics;2015-03-20

2. The α-normal functions;Computers & Mathematics with Applications;2002-08

3. A Version of the Lohwater-Pommerenke Theorem for Strongly Normal Functions;Computational Methods and Function Theory;2001-09

4. Normal functions and α-Normal Functions;Acta Mathematica Sinica;2000-07

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