Some inclusion properties of a certain family of integral operators.
type: Item
instance of: scholarly article
title: Some inclusion properties of a certain family of integral operators.
zbMATH Open document ID: 1035.30004
DOI: 10.1016/S0022-247X(02)00500-0
author: Jae Ho Choi
author: Megumi Saigo
author: H. M. Srivastava
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-02-11T00:00:00Z
review text: \textit{K. I. Noor} [J. Nat. Geom. 16, 71--80 (1999; Zbl 0942.30007)] introduced and studied a new class of integral operators associated with analytic functions. This operator is known as Noor integral operator. In this paper, the authors have considered some new classes of analytic functions defined by the generalized Noor integral operator. Using the standard technique, the authors have studied some inclusion properties of these classes. For recent research work on the Noor integral operator, see \textit{K. I. Noor} and \textit{M. A. Noor}, J. Math. Anal. Appl. 281, 244--252 (2003; Zbl 1022.30018) and \textit{N. E. Cho}, J. Math. Anal. Appl. 283, 202--212 (2003; Zbl 1027.30043)]. Also see \textit{K. I. Noor}, N. Z. J. Math. 24, 53--64 (1995; Zbl 0841.30012), where the linear operator was defined using the hypergeometric function.
reviewed by: Khalida Inayat Noor
Mathematics Subject Classification ID: 30C45
Mathematics Subject Classification ID: 30C80
zbMATH DE Number: 1866755
zbMATH Keywords: integral operators
zbMATH Keywords: Analytic functions
zbMATH Keywords: close-to-convex functions
MaRDI profile type: Publication
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full work available at URL: s0022-247x(02)00500-0
OpenAlex ID: W2027335482
description: scientific article; zbMATH DE number 1866755