<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In this paper we obtain the sharp Bohr radius, Bohr-Rogosinski radius, improved Bohr-radius and refined Bohr radius for the functions in the class <inline-formula>
<alternatives>
<inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/j_gm-2021-0018_eq_001.png"></inline-graphic>
<math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msubsup><mrow><mi>G</mi></mrow><mover accent="true"><mi>H</mi><mo>¯</mo></mover><mn>0</mn></msubsup><mrow><mo>(</mo><mi>γ</mi><mo>)</mo></mrow></mrow></math>
<tex-math>G_{\bar H}^0\left( \gamma  \right)</tex-math>
</alternatives>
</inline-formula> of Goodman-Ronning type harmonic univalent functions with negative coeffcients.</p>
</abstract>

In this paper we obtain the sharp Bohr radius, Bohr-Rogosinski radius, improved Bohr-radius and refined Bohr radius for the functions in the class 


GH¯0(γ)
G_{\bar H}^0\left( \gamma  \right)

 of Goodman-Ronning type harmonic univalent functions with negative coeffcients.

Bohr Radius for Goodman-Ronning Type Harmonic Univalent Functions

General Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Bohr Radius for Goodman-Ronning Type Harmonic Univalent Functions"}

In this paper we obtain the sharp Bohr radius, Bohr-Rogosinski radius, improved Bohr-radius and refined Bohr radius for the functions in the class...

Bohr Radius for Goodman-Ronning Type Harmonic Univalent Functions

Published Online: Mar 30, 2022

Page range: 107 - 126

Received: Oct 31, 2021

Accepted: Nov 26, 2021

DOI: https://doi.org/10.2478/gm-2021-0018

Keywords
Harmonic univalent functions, Bohr radius

© 2021 S. Sunil Varma et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Bohr Radius for Goodman-Ronning Type Harmonic Univalent Functions

Published Online: Mar 30, 2022

Page range: 107 - 126

Received: Oct 31, 2021

Accepted: Nov 26, 2021

DOI: https://doi.org/10.2478/gm-2021-0018

KeywordsHarmonic univalent functions, Bohr radius

© 2021 S. Sunil Varma et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Harmonic univalent functions, Bohr radius