A New Subclass of Univalent Functions Connected with Convolution defined via employing a Linear combination of two generalized Differential operators involving Sigmoid Function

Authors : Ezekiel Abiodun OYEKAN, Ibrahim AWOLERE

Pages : 82-96

Doi:10.47087/mjm.791841

View : 19 | Download : 9

Publication Date : 2020-11-12

Article Type : Research Paper

Abstract :By introducing an operator E_μ^n insert ignore into journalissuearticles values(β,λ,ω,φ;t); f_γ insert ignore into journalissuearticles values(z); via a linear combination of two generalized differential operators involving modified Sigmoid function, we defined and studied certain geometric properties of a new subclass T_γ D_insert ignore into journalissuearticles values(λ,ω); insert ignore into journalissuearticles values(α,β,ω,φ,t,λ,η,ξ;p:n); of analytic functions in the open unit disk $U.$ In particular, we give some properties of functions in this subclass such as; coefficient estimates, growth and distortion theorems, closure theorem and Fekete-Szego ̌ inequality for functions belonging to the subclass. Some earlier known results are special cases of results established for the new subclass defined.
Keywords : Analytic function, convolution, Fekete Szego inequality, growth and distortion, Sigmoid function