Some Estimates for Holomorphic Functions at the Boundary of the Unit Disc
Kragujevac Journal of Mathematics, Tome 44 (2020) no. 3, p. 475
Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
In this paper, for holomorphic function $f(z)=z+c_{2}z^{2}+c_{3}z^{3}+\cdots$ belong to the class of $\mathcal{N}(\lambda)$, it has been estimated from below the modulus of the angular derivative of the function $\frac{zf'(z)}{f(z)}$ on the boundary point of the unit disc.
Classification :
30C80 32A10
Keywords: Schwarz lemma, holomorphic function, angular limit
Keywords: Schwarz lemma, holomorphic function, angular limit
@article{KJM_2020_44_3_a11,
author = {B. N. Ornek},
title = {Some {Estimates} for {Holomorphic} {Functions} at the {Boundary} of the {Unit} {Disc}},
journal = {Kragujevac Journal of Mathematics},
pages = {475 },
year = {2020},
volume = {44},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KJM_2020_44_3_a11/}
}
B. N. Ornek. Some Estimates for Holomorphic Functions at the Boundary of the Unit Disc. Kragujevac Journal of Mathematics, Tome 44 (2020) no. 3, p. 475 . http://geodesic.mathdoc.fr/item/KJM_2020_44_3_a11/