A class of strongly close-to-convex functions

The Komatu Integral Operator and Strongly Close-to-convex Functions

In this paper we introduce some new subclasses of strongly closeto-convex functions de…ned by using the Komatu integral operator and study their inclusion relationships with the integral preserving properties. Theorem[section] [theorem]Lemma [theorem]Proposition [theorem]Corollary Remark

Some Properties of Certain Subclasses of Close-to-Convex and Quasi-convex Functions with Respect to 2k-Symmetric Conjugate Points

On the quadratic support of strongly convex functions

In this paper, we first introduce the notion of $c$-affine functions for $c> 0$. Then we deal with some properties of strongly convex functions in real inner product spaces by using a quadratic support function at each point which is $c$-affine. Moreover, a Hyers–-Ulam stability result for strongly convex functions is shown.

Inclusion Properties of a Certain Subclass of Strongly Close-to-convex Functions

The purpose of this paper is to derive some inclusion and argument properties of a new subclass of strongly close-to-convex functions in the open unit disc. We have considered an integral operator defined by convolution involving hypergeometric function in the subclass definition. The subclass also extends to the class of α-spirallike functions of complex order.

Certain Properties of a Class of Close-to-Convex Functions Related to Conic Domains

and Applied Analysis 3 Theorem 5. A function f ∈ A is said to be in the classTD(k, α, β, γ, δ), if