On integral operator defined by convolution involving hybergeometric functions
type: Item
instance of: scholarly article
title: On integral operator defined by convolution involving hybergeometric functions
zbMATH Open document ID: 1158.30301
DOI: 10.1155/2008/520698
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2008-08-19T00:00:00Z
full work available at URL: https://eudml.org/doc/55203
review text: Summary: For \(\lambda>-1\) and \(\mu\geq 0\), we consider a linear operator \(I_\lambda^\mu\) on the class \({\mathcal A}\) of analytic functions in the unit disk defined by the convolution \((f_\mu)^{(-1)}* f(z)\), where \(f_\mu= (1-\mu) z_2F_1(a,b,c;z)+ \mu z(z_2F_1(a,b,c;z))'\), and introduce a certain new subclass of \({\mathcal A}\) using this operator. Several interesting properties of these classes are obtained.
Mathematics Subject Classification ID: 30C45
Mathematics Subject Classification ID: 33C05
zbMATH DE Number: 5313279
author: Khalifa Al-Shaqsi
author: Maslina Darus
MaRDI profile type: Publication
OpenAlex ID: W2087285145
Wikidata QID: Q58644788
cites work: Q4052427
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DBLP publication ID: journals/ijmmsc/Al-ShaqsiD08
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description: scientific article; zbMATH DE number 5313279