Coefficient Bounds for a Family of s-Fold Symmetric Bi-Univalent Functions
Isra Al-Shbeil, Nazar Khan, Fairouz Tchier, Qin Xin, Sarfraz Nawaz Malik, Shahid Khan
Abstract
We present a new family of s-fold symmetrical bi-univalent functions in the open unit disc in this work. We provide estimates for the first two Taylor–Maclaurin series coefficients for these functions. Furthermore, we define the Salagean differential operator and discuss various applications of our main findings using it. A few new and well-known corollaries are studied in order to show the connection between recent and earlier work.
Topics & Concepts
Taylor seriesOperator (biology)Fold (higher-order function)MathematicsDifferential operatorSeries (stratigraphy)Pure mathematicsCombinatoricsMathematical analysisComputer scienceGeologyRepressorBiochemistryChemistryTranscription factorPaleontologyProgramming languageGeneAnalytic and geometric function theoryHolomorphic and Operator Theory