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

Mohammadreza Foroutan, Mohammadreza Yasamian, Ali Ebadian

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.

Keywords


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

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