Abstract
The aim of the present paper is to introduce a new class G α , δ of analytic functions in the open unit disk and to study some properties associated with strong starlikeness and close-to-convexity for the class G α , δ . We also consider sharp bounds of logarithmic coefficients and Fekete-Szegö functionals belonging to the class G α , δ . Moreover, we provide some topics related to the results reported here that are relevant to outcomes presented in earlier research.
Highlights
Introduction and PreliminariesLet U denote the open unit dick in the complex plane C
A function ω : U → C is called a Schwarz function if ω is a analytic function in U with ω (0) = 0 and |ω (z)| < 1 for all z ∈ U
We denote by Ω the set of all Schwarz functions on U
Summary
Introduction and PreliminariesLet U denote the open unit dick in the complex plane C. We denote by Ω the set of all Schwarz functions on U. Let A be consisting of all analytic functions of the following normalized form: Be the class of functions f ∈ A which are univalent in U.
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