Authors:
R. Sathish Srinivasan,R. Ezhilarasi,K. R. Karthikeyan,T.V. Sudharsan,DOI NO:
https://doi.org/10.26782/jmcms.2025.03.00013Keywords:
Analytic function,quasi-convex,close to convex,close to star,Janowski function,coefficient estimates,Carlson-Shaffer operator,Abstract
Let Υ denote the class of functions χ(ξ) of the form χ(ξ)=ξ+∑_(n=2)^∞▒a_n ξ^n which are analytic in the open unit disc Δ=\{ ξ∈C: |ξ|<1 }. In recent times investigating the properties of several existing and new subclasses of quasi-convex functions have gained importance and attracted researchers working in the theory of univalent functions. Using the Carlson-Shaffer operator, we introduce new subclasses of quasi-convex functions. The coefficient bounds for functions belonging to the defined function classes are our main results. Further, we establish various well-known results as corollaries to our main results.Refference:
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