Differential subordinations obtained by using a fractional operator

Eszter Szatmari

Abstract


We investigate several differential subordinations using the fractional operator $\mathbb{D}_\lambda^{\nu, n}:\mathcal{A}\to\mathcal{A}$, for $-\infty<\lambda<2, \nu>-1, n\in\mathbb{N}_0=\{0,1,2,...\}$, introduced in \cite{7}.

Keywords


differential subordination, analytic function, fractional operator, convex function

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References


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DOI: http://dx.doi.org/10.24193/subbmath.2018.4.05

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