Dergiler / Advances in the Theory of Nonlinear Analysis and its Application / 2020 / Cilt: 4 - Sayı: 4

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

Sayfa
459–482
DOI
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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.