The uniqueness of meromorphic functions ink-punctured complex plane

Hong Yan Xu; San Yang Liu

Open Mathematics (2017)

  • Volume: 15, Issue: 1, page 724-733
  • ISSN: 2391-5455

Abstract

top
The main purpose of this paper is to investigate the uniqueness of meromorphic functions that share two finite sets in the k-punctured complex plane. It is proved that there exist two sets S1, S2 with ♯S1 = 2 and ♯S2 = 5, such that any two admissible meromorphic functions f and g in Ω must be identical if EΩ(Sj, f) = EΩ(Sj, g)(j = 1,2).

How to cite

top

Hong Yan Xu, and San Yang Liu. "The uniqueness of meromorphic functions ink-punctured complex plane." Open Mathematics 15.1 (2017): 724-733. <http://eudml.org/doc/288382>.

@article{HongYanXu2017,
abstract = {The main purpose of this paper is to investigate the uniqueness of meromorphic functions that share two finite sets in the k-punctured complex plane. It is proved that there exist two sets S1, S2 with ♯S1 = 2 and ♯S2 = 5, such that any two admissible meromorphic functions f and g in Ω must be identical if EΩ(Sj, f) = EΩ(Sj, g)(j = 1,2).},
author = {Hong Yan Xu, San Yang Liu},
journal = {Open Mathematics},
keywords = {Shared-set; k-puncture; Admissible meromorphic function},
language = {eng},
number = {1},
pages = {724-733},
title = {The uniqueness of meromorphic functions ink-punctured complex plane},
url = {http://eudml.org/doc/288382},
volume = {15},
year = {2017},
}

TY - JOUR
AU - Hong Yan Xu
AU - San Yang Liu
TI - The uniqueness of meromorphic functions ink-punctured complex plane
JO - Open Mathematics
PY - 2017
VL - 15
IS - 1
SP - 724
EP - 733
AB - The main purpose of this paper is to investigate the uniqueness of meromorphic functions that share two finite sets in the k-punctured complex plane. It is proved that there exist two sets S1, S2 with ♯S1 = 2 and ♯S2 = 5, such that any two admissible meromorphic functions f and g in Ω must be identical if EΩ(Sj, f) = EΩ(Sj, g)(j = 1,2).
LA - eng
KW - Shared-set; k-puncture; Admissible meromorphic function
UR - http://eudml.org/doc/288382
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.