Abstract
We study meromorphic functions on the complex plane with given growth of the spherical derivative. We find a criterion of Lohwater-Pommerenke type for non-weighted Yosida functions, and apply this result to obtain a version of Lappan's 5-point theorem. Further, a necessary condition for all solutions of algebraic differential equation of nth order to be weighted Yosida functions is found.
Original language | English |
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Pages (from-to) | 167-172 |
Number of pages | 6 |
Journal | Complex Variables and Elliptic Equations |
Volume | 55 |
Issue number | 1-3 |
DOIs | |
Publication status | Published - Jan 2010 |
Keywords
- 5-point theorem
- Algebraic differential equation
- Spherical derivative
- Yosida function
ASJC Scopus subject areas
- Analysis
- Numerical Analysis
- Computational Mathematics
- Applied Mathematics