On the five-point theorems due to Lappan

• Autorzy: Yan Xu
• Języki publikacji: EN

Abstrakty

EN

By using an extension of the spherical derivative introduced by Lappan, we obtain some results on normal functions and normal families, which extend Lappan's five-point theorems and Marty's criterion, and improve some previous results due to Li and Xie, and the author. Also, another proof of Lappan's theorem is given.

Kategorie tematyczne

• 30D45: Bloch functions, normal functions, normal families
• 30D05: Functional equations in the complex domain, iteration and composition of analytic functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2011
• Tom: 101
• Numer: 3
• Strony: 227-235

Daty

wydano

2011

Twórcy

autor

Yan Xu

• Department of Mathematics, Nanjing Normal University, Nanjing 210046, P.R. China

Identyfikatory

DOI

10.4064/ap101-3-3