On certain subclasses of multivalent functions associated with an extended fractional differintegral operator
type: Item
instance of: scholarly article
title: On certain subclasses of multivalent functions associated with an extended fractional differintegral operator
zbMATH Open document ID: 1125.30010
author: Akshaya Kumar Mishra
author: Jagannath Patel
published in: Journal of Mathematical Analysis and Applications
publication date: 2007-05-23T00:00:00Z
review text: In this paper an extended fractional differintegral operator \(\Omega^{\lambda,p}_z\) \((-\infty<\lambda< p+1\); \(p\in\mathbb{N})\), for multivalent functions is introduced. Various mapping properties and inclusion relationships between certain subclasses of multivalent functions are investigated by applying the techniques of differential subordination. Consequences of the main results and their relevance to known results are pointed out.
reviewed by: Tej Singh Nahar
Mathematics Subject Classification ID: 30C45
zbMATH DE Number: 5156410
zbMATH Keywords: analytic function
zbMATH Keywords: multivalent function
zbMATH Keywords: differential subordination
zbMATH Keywords: fractional differintegral operator
zbMATH Keywords: Gauss hypergeometric function
zbMATH Keywords: Hadamard product (or convolution)
MaRDI profile type: Publication
full work available at URL: j.jmaa.2006.09.067
OpenAlex ID: W1992655853
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DOI: 10.1016/J.JMAA.2006.09.067
description: scientific article; zbMATH DE number 5156410