On Fuzzy Spiral-like Functions Associated with the Family of Linear Operators
A. A. Azzam, Shujaat Ali Shah, Adriana Cătaş, Luminiţa-Ioana Cotîrlă
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.
Topics & Concepts
MathematicsLinear operatorsFuzzy logicSpiral (railway)Operator (biology)Pure mathematicsOrder (exchange)Algebra over a fieldLinear mapComputer scienceMathematical analysisArtificial intelligenceBiochemistryRepressorBounded functionTranscription factorFinanceGeneEconomicsChemistryAnalytic and geometric function theoryDifferential Equations and Boundary ProblemsMathematical Inequalities and Applications