<abstract xmlns="http://www.w3.org/1999/xhtml"><p>New sufficient conditions involving the properties of analytic functions to belong to the class of Carathéodory functions are investigated. Certain univalence and starlikeness conditions are deduced as special cases of main results.</p></abstract>

New sufficient conditions involving the properties of analytic functions to belong to the class of Carathéodory functions are investigated. Certain univalence and starlikeness conditions are deduced as special cases of main results.

On application of differential subordination for Carathéodory functions

Acta Universitatis Sapientiae, Mathematica

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

{"article-title":"On application of differential subordination for Carathéodory functions"}

New sufficient conditions involving the properties of analytic functions to belong to the class of Carathéodory functions are investigated. Certain univalence...

On application of differential subordination for Carathéodory functions

Published Online: Dec 02, 2020

Page range: 370 - 382

Received: Jul 04, 2020

DOI: https://doi.org/10.2478/ausm-2020-0026

Keywords
analytic functions, differential subordination, Carathéodory function, starlike function, univalent function

© 2020 V. Agnes Sagaya Judy Lavanya et al., published by Sciendo

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

On application of differential subordination for Carathéodory functions

Published Online: Dec 02, 2020

Page range: 370 - 382

Received: Jul 04, 2020

DOI: https://doi.org/10.2478/ausm-2020-0026

Keywordsanalytic functions, differential subordination, Carathéodory function, starlike function, univalent function

© 2020 V. Agnes Sagaya Judy Lavanya et al., published by Sciendo

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

Keywords
analytic functions, differential subordination, Carathéodory function, starlike function, univalent function