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

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Advances in the Theory of Nonlinear Analysis and its Application
Volume:4 Issue:4
Some Properties for Certain Subclasses of Analytic Functions Associated with $k-$Integral Operators

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

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

Pages : 459-482

Doi:10.31197/atnaa.825204

View : 12 | Download : 10

Publication Date : 2020-12-30

Article Type : Research Paper

Abstract :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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