On the five-point theorems due to Lappan

Yan Xu

Annales Polonici Mathematici (2011)

  • Volume: 101, Issue: 3, page 227-235
  • ISSN: 0066-2216

Abstract

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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.

How to cite

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Yan Xu. "On the five-point theorems due to Lappan." Annales Polonici Mathematici 101.3 (2011): 227-235. <http://eudml.org/doc/280463>.

@article{YanXu2011,
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.},
author = {Yan Xu},
journal = {Annales Polonici Mathematici},
keywords = {normal function; normal family; spherical derivative},
language = {eng},
number = {3},
pages = {227-235},
title = {On the five-point theorems due to Lappan},
url = {http://eudml.org/doc/280463},
volume = {101},
year = {2011},
}

TY - JOUR
AU - Yan Xu
TI - On the five-point theorems due to Lappan
JO - Annales Polonici Mathematici
PY - 2011
VL - 101
IS - 3
SP - 227
EP - 235
AB - 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.
LA - eng
KW - normal function; normal family; spherical derivative
UR - http://eudml.org/doc/280463
ER -

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