Eman ABUJARAD, Mohammed H ABUJARAD, Thabet ABDELJAWAD, Fahd JARAD

Some Properties for Certain Subclasses of Analytic Functions Associated with $k-$Integral Operators

In this paper, the k-integral operators for analytic functions dened in the open unit disc U = fz 2 C : jzj < 1g are introduced. Several new subclasses of analytic functions satisfying certain relations involving these operators are also introduced. Further, we establish the inclusion relation for these subclasses. Next, the integral preserving properties of a k-integral operator satised by these newly introduced subclasses are obtained. Some applications of the results are discussed. Concluding remarks are also given.

Keywords:

$k$-integral operators Starlike functions, Convex functions, Subordination, Inclusion relations,

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