Some application of a generalized distribution series on certain class of analytic functions

Abstract

In this search, we investigate a relation between generalized distribution series and particular subclasses of univalent functions. Further, we obtain the sufficient conditions for generalized distribution series 𝒩ψ(τ,z) and ℳ*ψ(η,τ,z) belongs to ℒθ(A,B;γ). Also, we investigate some mapping properties for this class. Finally, we obtain some corollaries and consequences of the main results.

Keywords

• generalized distribution series
• analytic functions
• hadamard product
• starlike function
• convex functions