In this paper, we will discuss some generalized sub-classes of analytic function related with close-to-convex functions in conic domains by using \(q\) -calculus. We investigate important properties such as necessary and sufficient conditions, coefficient estimates, convolution results, linear combination, weighted mean, arithmetic radii star likeness growth distortion for these classes. It is ...

Abstract Let f be analytic in $$\mathbb {D}=\{z\in \mathbb {C}:|z|<1\}$$ D = { z ∈ C : | < 1 } , and given by $...

Abstract. In this paper we introduce and study a subclass of close-to-convex functions defined in the open unit disk. We establish the inclusion relationship, coefficient estimates and some sufficient conditions for a normalized function to be in our classes of functions. Furthermore, we discuss Fekete-Szegő problem for a more generalized class. The results presented here would provide extensio...

In this work, we introduce and investigate an interesting subclassXt(γ) of analyticand close-to-convex functions in the open unit disk U. For functions belonging to the classXt(γ),we drive several properties including coefficient estimates, distortion theorems, covering theoremsand radius of convexity.Full text References[1] I. Graham, G. Kohr, Geometric Function The...

correct. We shall modify this result for linear-invariant families. Families of closeto-convex functions and of functions of bounded boundary rotation will be showed to be linear-invariant. Because of the coefficient estimate for close-to-convex functions and functions of bounded boundary rotation derived by Aharonov and Friedland [1], it is possible to get the distortion theorem for the n-th. ...

Dedicated to Professor H. M. Srivastava on the Occasion of his Seventieth Birth Anniversary