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

Year 2020, Volume: 4 Issue: 4, 459 - 482, 30.12.2020

Eman Abujarad Mohammed H Abujarad , Thabet Abdeljawad , Fahd Jarad

https://doi.org/10.31197/atnaa.825204

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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