Meromorphic functions that weighted sharing three values and one pair

Alzahary, Thamir C.; Yi, Hong-Xun

Kodai Math. J., Tome 29 (2006) no. 1, p. 13-30 / Harvested from Project Euclid

Résumé

G. Brosch improved the theorem of Nevanlinna for four values theorem and proved that let f and g be two nonconstant meromorphic functions sharing 0, 1, ∞ CM, and let a and b be two finite complex numbers such that $a,b\not\in \{0,1\}$ . If $f=a\Leftrightarrow g=b$ , then f is a fractional linear transformation of g. In this paper we extend this theorem by using the idea of weighted sharing.

Publié le : 2006-03-14
Classification:

@article{1143122383,
     author = {Alzahary, Thamir C. and Yi, Hong-Xun},
     title = {Meromorphic functions that weighted sharing three values and one pair},
     journal = {Kodai Math. J.},
     volume = {29},
     number = {1},
     year = {2006},
     pages = { 13-30},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1143122383}
}

Alzahary, Thamir C.; Yi, Hong-Xun. Meromorphic functions that weighted sharing three values and one pair. Kodai Math. J., Tome 29 (2006) no. 1, pp.  13-30. http://gdmltest.u-ga.fr/item/1143122383/