Open Problem for General Class of Superordination-Preserving Convex Integral Operator (Masalah Terbuka untuk Kelas Umum Pengoperasi Kamiran Cembung yang Mengawet Superordinasi)

Saibah Siregar, and Maslina Darus , and Teodor Bulboacă, (2011) Open Problem for General Class of Superordination-Preserving Convex Integral Operator (Masalah Terbuka untuk Kelas Umum Pengoperasi Kamiran Cembung yang Mengawet Superordinasi). Journal of Quality Measurement and Analysis, 7 (2). pp. 39-47. ISSN 1823-5670

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Abstract

Let H(U) be the space of analytic functions in the unit disc U. For the integral operator , , , A  [ f ](z) : K H(U)     with K C H(U), we will determine sufficient conditions on certain parameters a ,β ,Y ,8 for sandwich-type theorem. We will also give some particular cases of the main result obtained for appropriate choices of function h , that also generalises classical results of the theory of differential subordination and superordination

Item Type:Article
Keywords:Analytic function; starlike and convex function; differential operator; differential subordination
Journal:Journal of Quality Measurement and Analysis
ID Code:3442
Deposited By: Mr Azam
Deposited On:03 Feb 2012 03:43
Last Modified:03 Feb 2012 03:43

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