On meromorphic functions with maximal defect sum

Pham Duc Thoan; Le Thanh Tung

Annales Polonici Mathematici (2011)

  • Volume: 100, Issue: 2, page 115-125
  • ISSN: 0066-2216

Abstract

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The purpose of this article is twofold. The first is to give necessary conditions for the maximality of the defect sum. The second is to show that the class of meromorphic functions with maximal defect sum is very thin in the sense that deformations of meromorphic functions with maximal defect sum by small meromorphic functions are not meromorphic functions with maximal defect sum.

How to cite

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Pham Duc Thoan, and Le Thanh Tung. "On meromorphic functions with maximal defect sum." Annales Polonici Mathematici 100.2 (2011): 115-125. <http://eudml.org/doc/280393>.

@article{PhamDucThoan2011,
abstract = {The purpose of this article is twofold. The first is to give necessary conditions for the maximality of the defect sum. The second is to show that the class of meromorphic functions with maximal defect sum is very thin in the sense that deformations of meromorphic functions with maximal defect sum by small meromorphic functions are not meromorphic functions with maximal defect sum.},
author = {Pham Duc Thoan, Le Thanh Tung},
journal = {Annales Polonici Mathematici},
keywords = {meromorphic function; order; lower order; defect relation; maximal defect sum},
language = {eng},
number = {2},
pages = {115-125},
title = {On meromorphic functions with maximal defect sum},
url = {http://eudml.org/doc/280393},
volume = {100},
year = {2011},
}

TY - JOUR
AU - Pham Duc Thoan
AU - Le Thanh Tung
TI - On meromorphic functions with maximal defect sum
JO - Annales Polonici Mathematici
PY - 2011
VL - 100
IS - 2
SP - 115
EP - 125
AB - The purpose of this article is twofold. The first is to give necessary conditions for the maximality of the defect sum. The second is to show that the class of meromorphic functions with maximal defect sum is very thin in the sense that deformations of meromorphic functions with maximal defect sum by small meromorphic functions are not meromorphic functions with maximal defect sum.
LA - eng
KW - meromorphic function; order; lower order; defect relation; maximal defect sum
UR - http://eudml.org/doc/280393
ER -

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