A+ CATEGORY SCIENTIFIC UNIT

On the five-point theorems due to Lappan

Volume 101 / 2011

Yan Xu Annales Polonici Mathematici 101 (2011), 227-235 MSC: Primary 30D05; Secondary 30D45. DOI: 10.4064/ap101-3-3

Abstract

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.

Authors

  • Yan XuDepartment of Mathematics
    Nanjing Normal University
    Nanjing 210046, P.R. China
    e-mail

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