Abstract
We give two proofs for a normality result stated by Singh and Singh (Sharing values and normality of meromorphic functions, Complex Var. Theory Appl. 49 (2004), pp. 417-425) for families of meromorphic functions which share three values with their first derivatives, where the three shared values may depend on the function in the family.
| Original language | English |
|---|---|
| Pages (from-to) | 347-356 |
| Number of pages | 10 |
| Journal | Complex Variables and Elliptic Equations |
| Volume | 55 |
| Issue number | 4 |
| DOIs | |
| State | Published - Mar 2010 |
Bibliographical note
Funding Information:Part of this work was supported by the German Israeli Foundation for Scientific Research and Development (No. G 809−234.6/2003). Shahar Nevo also received support from the Israel Science Foundation, Grant No. 395/07. This research is part of the European Science Foundation Networking Programme HCAA. The authors would like to thank Professor Lawrence Zalcman for his helpful remarks. Furthermore, the authors are grateful to the anonymous referees for several valuable suggestions.
Funding
Part of this work was supported by the German Israeli Foundation for Scientific Research and Development (No. G 809−234.6/2003). Shahar Nevo also received support from the Israel Science Foundation, Grant No. 395/07. This research is part of the European Science Foundation Networking Programme HCAA. The authors would like to thank Professor Lawrence Zalcman for his helpful remarks. Furthermore, the authors are grateful to the anonymous referees for several valuable suggestions.
| Funders | Funder number |
|---|---|
| European Science Foundation | |
| German-Israeli Foundation for Scientific Research and Development | G 809−234.6/2003 |
| Israel Science Foundation | 395/07 |
Keywords
- Bloch's principle
- Normal families
- Shared values
- Zalcman's lemma