2019
DOI: 10.2298/fil1910995o
|View full text |Cite
|
Sign up to set email alerts
|

On the Schwarz lemma at the upper half plane

Abstract: In this paper, we give a simple proof for the boundary Schwarz lemma at the upper half plane. Considering that f (z) is a holomorphic function defined on the upper half plane, we derive inequalities for the modulus of derivative of f (z), f (0) , by assuming that the f (z) function is also holomorphic at the boundary point z = 0 on the real axis with f (0) = f (i). Let E be the unit disc and S = {z ∈ C : z > 0} the upper half plane in C. For i ∈ E, w−i 1+iw defines a conformal self-map of E carrying i to 0. Si… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

0
0
0

Year Published

2022
2022
2022
2022

Publication Types

Select...
1

Relationship

0
1

Authors

Journals

citations
Cited by 1 publication
references
References 13 publications
0
0
0
Order By: Relevance