- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 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 : 7 | Download : 2
Publication Date : 2020-12-30
Article Type : Research
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