Inclusion and argument properties for a certain class of analytic functions based on fractional derivatives

Authors

  • Mohammadreza Foroutan
  • Mohammadreza Yasamian
  • Ali Ebadian

DOI:

https://doi.org/10.30495/jme.v0i0.1316

Keywords:

Analytic function, subordination, integral operator, fractional derivative, argument.

Abstract

Making use of the operator $\Omega^{\lambda}f(z)$ based on fractional derivative which is introduced by Owa and Srivastava inthis paper the new operator $Q_{\lambda}^{\nu}$ is defined. Two subclasses of analytic functions in the open unit disk $\cal U$ concerning with this operator are introduced. Some results such as inclusion relations, subordination properties, integral preserving properties and argument estimate are investigated.

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Published

2020-08-04

Issue

Vol. 15

Section

Vol. 15, No. 2, (2021)

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