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An Application of the Subordination Chains

Irina Oros, Georgia — 2010

Fractional Calculus and Applied Analysis

MSC 2010: 30C45, 30A20, 34A30 The notion of differential superordination was introduced in [4] by S.S. Miller and P.T. Mocanu as a dual concept of differential subordination [3] and was developed in [5]. The notion of strong differential subordination was introduced by J.A. Antonino and S. Romaguera in [1]. In [6] the author introduced the dual concept of strong differential superordination. In this paper we study strong differential superordination using the subordination chains.

On a Convexity Preserving Integral Operator

Oros, Gheorghe; Irina Oros, Georgia — 2010

Fractional Calculus and Applied Analysis

MSC 2010: 30C45, 30A20, 34C40 In this paper we determine conditions an analytic function g needs to satisfy in order that the function Fgiven by (1) be convex.

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An Application of the Subordination Chains

On a Convexity Preserving Integral Operator

On a class of holomorphic functions defined by the Ruscheweyh derivative.

Differential subordination defined by Sălăgean operator.

On a particular second-order nonlinear differential subordination I.

On a differential inequality II.

First order nonlinear differential superordination.

Strong differential superordination.

A new differential inequality.

A class of holomorphic functions defined using a differential operator.

A univalence preserving integral operator.

Differential subordinations defined by using Sălăgean differential operator at the class of meromorphic functions.

On a second-order nonlinear differential subordination I.

Differential superordination defined by Sălăgean operator.

On a special differential inequality.

Differential subordinations obtained by using generalized Sălăgean and Ruscheweyh operators.

On a second-order nonlinear differential subordination.

On certain subclasses of meromorphic close-to-convex functions.

Sufficient conditions for univalence of an integral operator.

Differential subordinations associated with multiplier transformations.