Growth estimates for logarithmic derivatives of Blaschke products and of functions in the Nevanlinna class

Heittokangas, Janne

Kodai Math. J., Tome 30 (2007) no. 1, p. 263-279 / Harvested from Project Euclid

Résumé

We prove growth estimates for logarithmic derivatives of functions in the Nevanlinna class. Blaschke products with radially restricted zero sequences will be of particular interest. Our results are sharper in a certain sense than the corresponding estimates in [2] obtained for meromorphic functions in the unit disc.

Publié le : 2007-06-14
Classification:

@article{1183475517,
     author = {Heittokangas, Janne},
     title = {Growth estimates for logarithmic derivatives of Blaschke products and of functions in the Nevanlinna class},
     journal = {Kodai Math. J.},
     volume = {30},
     number = {1},
     year = {2007},
     pages = { 263-279},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183475517}
}

Heittokangas, Janne. Growth estimates for logarithmic derivatives of Blaschke products and of functions in the Nevanlinna class. Kodai Math. J., Tome 30 (2007) no. 1, pp.  263-279. http://gdmltest.u-ga.fr/item/1183475517/