On Fuzzy Spiral-like Functions Associated with the Family of Linear Operators

Abstract

At the present time, the study of various classical properties of the geometric function theory using the concept of a fuzzy subset remains limited. In this article, our main aim is to introduce the subclasses of spiral-like functions of complex order in terms of the fuzzy notion and we generalize these subclasses by applying a family of linear operators. The relationships between the newly defined subclasses are examined. In addition, we show that these subclasses are preserved under the well-known Bernardi integral operator.

Keywords

• analytic functions
• fuzzy subset
• fuzzy starlike functions
• fuzzy convex functions
• Noor integral operator
• multiplier transformations