Subclasses of analytic functions defined by new generalised derivative operator

El-Yagubi, Entisar and Maslina Darus, (2013) Subclasses of analytic functions defined by new generalised derivative operator. Journal of Quality Measurement and Analysis, 9 (1). pp. 47-56. ISSN 1823-5670

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Abstract

A new generalised derivative operator 12,,,nmDbλλ is introduced. This operator generalised some well-known operators studied earlier. New subclasses of analytic functions in the open unit disc which are defined using generalised derivative operator are introduced. Inclusion theorems are investigated. Furthermore, generalised Bernardi-Libera-Livington integral operator is shown to be preserved for these classes.

Item Type:Article
Keywords:analytic functions; univalent functions; starlike functions; convex functions; close-to-convex functions; subordination; Hadamard product; integral operator
Journal:Journal of Quality Measurement and Analysis
ID Code:6485
Deposited By: ms aida -
Deposited On:06 Sep 2013 02:03
Last Modified:14 Dec 2016 06:41

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