Korean J. Math.  Vol 29, No 2 (2021)  pp.293-304
DOI: https://doi.org/10.11568/kjm.2021.29.2.293

Some remarks on the Subordination Principle for analytic functions concerned with Rogosinski's lemma

Tuğba Akyel

Abstract


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 inequalities, the results of Rogosinski's lemma, Subordination principle and Jack's lemma were used.


Keywords


Subordination principle, Jack’s lemma, Rogosinski’s lemma, Julia-Wolff lemma, Analytic function, Schwarz lemma.

Subject classification

30C80, 32A10

Sponsor(s)



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