Fractal Fract, Vol. 7, Pages 145: On Fuzzy Spiral-Like Functions Associated with the Family of Linear Operators

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Fractal Fract, Vol. 7, Pages 145: On Fuzzy Spiral-Like Functions Associated with the Family of Linear Operators

Fractal and Fractional doi: 10.3390/fractalfract7020145

Authors: Abdel Fatah Azzam Shujaat Ali Shah Adriana Cătaș Luminiţa-Ioana Cotîrlă

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.

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