[PDF][PDF] Rigidity of holomorphic mappings & Schwarz and Jack lemma

M Mateljevic - 2018 - researchgate.net
A simple proof of a version of Jack's lemma for domains whose boundary is simple at a
boundary point, is given. As an application we study the growth of starlike univalent …

Estimates concerned with Hankel determinant for M (α) class

S Aydinoğlu, NB Örnek - Filomat, 2022 - doiserbia.nb.rs
In this paper, we give an upper bound of Hankel determinant of (H2 (1)) for the classes of M
(α), α∈ C. Also, for M (α), we obtain a sharp estimate for the classical Fekete-Szegö …

Schwarz lemma for driving point impedance functions and its circuit applications

BN Örnek, T Düzenli - International Journal of Circuit Theory …, 2019 - Wiley Online Library
In this paper, a boundary version of the Schwarz lemma is investigated for driving point
impedance functions and its circuit applications. It is known that driving point impedance …

Some remarks for λ-spirallike function of complex order at the boundary of the unit disc

T Akyel - Communications of the Korean Mathematical Society, 2021 - koreascience.kr
We consider a different version of Schwarz Lemma for λ-spirallike function of complex order
at the boundary of the unit disc D. We estimate the modulus of the angular derivative of the …

Circuit Applications of Schwarz-Pick Lemma

T Düzenli - IEEE Transactions on Circuits and Systems II …, 2021 - ieeexplore.ieee.org
In this brief, the relation between Schwarz-Pick lemma and driving point impedance function
is investigated. Schwarz-Pick lemma is given as the generalized version of Schwarz lemma …

Estimates for Analytic Functions Connected with Hankel Determinant

BN Örnek - Ukrainian Mathematical Journal, 2022 - Springer
We give an upper bound of the first-order Hankel determinant (H 2 (1)) for the classes of
analytic functions. In addition, an estimate with Hankel determinant from below is given for …

Applications of the Jack's lemma for analytic functions concerned with Rogosinski's lemma

BN Ornek - The Pure and Applied Mathematics, 2021 - koreascience.kr
In this study, a Schwarz lemma at the boundary for analytic functions at the unit disc, which
generalizes classical Schwarz lemma for bounded analytic functions, is considered. The …

[PDF][PDF] Upper bound of Hankel determinant for a class of analytic functions

T Akyel - Filomat, 2021 - doiserbia.nb.rs
The aim of this study is to solve the Fekete-Szegö problem and to define upper bound for
Hankel determinant H2 (1) in a novel class K of analytical functions in the unit disc …

Sharpened forms of analytic functions concerned with Hankel determinant

BN ÖRNEK - Korean Journal of Mathematics, 2019 - kkms.org
In this paper, we present a Schwarz lemma at the boundary for analytic functions at the unit
disc, which generalizes classical Schwarz lemma for bounded analytic functions. For new …

On the Schwarz lemma at the upper half plane

BN Örnek - Filomat, 2019 - doiserbia.nb.rs
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 …