Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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RESULTS ASSOCIATED WITH THE SCHWARZ LEMMA ON THE BOUNDARY

  • Received : 2021.09.24
  • Accepted : 2022.08.17
  • Published : 2023.04.30
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Abstract

In this paper, some estimations will be given for the analytic functions belonging to the class 𝓡(α). In these estimations, an upper bound and a lower bound will be determined for the first coefficient of the expansion of the analytic function h(z) and the modulus of the angular derivative of the function ${\frac{zh^{\prime}(z)}{h(z)}}$, respectively. Also, the relationship between the coefficients of the analytical function h(z) and the derivative mentioned above will be shown.

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Acknowledgement

The author would like to thank the reviewer for their constructive comments and suggestions on the earlier version of this paper.

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