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

Mohammadreza Foroutan, Mohammadreza Yasamian, Ali Ebadian


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.


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

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