On an investigation of certain class of starlike and convex functions in terms of generalized fractional integral operators
type: Item
instance of: scholarly article
zbMATH Open document ID: 0986.30009
author: P. K. Banerji
author: Gamal M. Shenan
publication date: 2002-06-06T00:00:00Z
Mathematics Subject Classification ID: 30C45
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 33C60
zbMATH DE Number: 1658947
zbMATH Keywords: starlike
zbMATH Keywords: convex functions
zbMATH Keywords: \(p\)-valent functions
MaRDI profile type: Publication
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title: On an investigation of certain class of starlike and convex functions in terms of generalized fractional integral operators
published in: The Journal of the Indian Academy of Mathematics
review text: The authors obtain some distortion theorems for fractional integral operators of certain classes of \(p\)-valent functions defined in the unit disk. The integral operator used in the paper is the one which involves a particular \(H\)-function. Similar distortion properties were earlier also given by \textit{R. K. Raina} [Panam. Math. J. 8, No. 1, 115-126 (1998; Zbl 0957.30012)] and \textit{R. K. Raina} and \textit{M. Bolia} [Bull. Inst. Math. Acad. Sin. 26, No. 4, 301-307 (1998; Zbl 0951.30015)]. Particular cases have also been discussed in the paper under review.
reviewed by: Ravinder Krishna Raina
description: scientific article; zbMATH DE number 1658947