Quasinormality of order 1 for families of meromorphic functions

Nevo, Shahar; Pang, Xuecheng

Kodai Math. J., Tome 27 (2004) no. 1, p. 152-163 / Harvested from Project Euclid

Résumé

Let $\CF$ be a family of functions meromorphic on the plane domain $D$, all of whose zeros are multiple. Suppose that $f^{(k)}(z)\ne1$ for all $f\in \CF$ and $z\in D.$ Then if $\CF$ is quasinormal on $D$, it is quasinormal of order 1 there.

Publié le : 2004-06-14
Classification:

@article{1093351322,
     author = {Nevo, Shahar and Pang, Xuecheng},
     title = {Quasinormality of order 1 for families of meromorphic functions},
     journal = {Kodai Math. J.},
     volume = {27},
     number = {1},
     year = {2004},
     pages = { 152-163},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1093351322}
}

Nevo, Shahar; Pang, Xuecheng. Quasinormality of order 1 for families of meromorphic functions. Kodai Math. J., Tome 27 (2004) no. 1, pp.  152-163. http://gdmltest.u-ga.fr/item/1093351322/