Research Article

Differential subordination related with exponential functions

Published in: Quaestiones Mathematicae
Volume 45 , issue 6 , 2022 , pages: 889–899

DOI: 10.2989/16073606.2021.1924890

Author(s): Saima Mushtaq , Pakistan , Mohsan Raza , Pakistan , Janusz Sokół , Poland

Keywords: Primary: 30C45 , Secondary: 30C80 , Primary: 30C45 , Secondary: 30C80

Abstract

In this article, we study some first-order differential subordinations. We determine the conditions on β such that and implies . Similarly, some results are also obtained for the expressions and . We also give applications of these results to obtain some suﬃcient conditions for a function to be starlike related to exponential functions.

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