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Open Access Research

Strong differential subordination properties for analytic functions involving the Komatu integral operator

Nak Eun Cho

Author affiliations

Department of Applied Mathematics, Pukyong National University, Busan, 608-737, Korea

Citation and License

Boundary Value Problems 2013, 2013:44  doi:10.1186/1687-2770-2013-44

Published: 4 March 2013

Abstract

The purpose of the present paper is to investigate some strong differential subordination and superordination implications involving the Komatu integral operator which are obtained by considering suitable classes of admissible functions. The sandwich-type theorems for these operators are also considered.

MSC: 30C80, 30C45, 30A20.

Keywords:
strong differential subordination; strong differential superordination; univalent function; convex function; Komatu integral operator