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Journal of Inequalities and Applications

, 2012:213

First Online: 02 October 2012Received: 15 June 2012Accepted: 13 September 2012


The study of operators plays a vital role in mathematics. To define an operator using the convolution theory, and then study its properties, is one of the hot areas of current ongoing research in the geometric function theory and its related fields. In this survey-type article, we discuss historic development and exploit the strengths and properties of some differential and integral convolution operators introduced and studied in the geometric function theory. It is hoped that this article will be beneficial for the graduate students and researchers who intend to start work in this field.

MSC: 30C45, 30C50.

Keywordsanalytic functions convolution hypergeometric function differential operator integral operator  Download fulltext PDF

Author: Zahid Shareef - Saqib Hussain - Maslina Darus


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