On integral operator defined by convolution involving hybergeometric functions

K. Al-Shaqsi, Maslina Darus

Research output: Contribution to journalArticle

Abstract

For λ > -1 and μ ≥ 0, we consider a liner operator Iλ μ on the class A of analytic functions in the unit disk defined by the convolution (fμ) (-1) * f (z), where fμ = (1 - μ) z2F1(a, b, c; z) + μz(z2 F1(a, b, c; z)) ′, and introduce a certain new subclass of using this operator. Several interesting properties of these classes are obtained.

Original languageEnglish
Article number520698
JournalInternational Journal of Mathematics and Mathematical Sciences
Volume2008
DOIs
Publication statusPublished - 2008

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Integral Operator
Convolution
Operator
Unit Disk
Analytic function
Class

ASJC Scopus subject areas

  • Mathematics (miscellaneous)

Cite this

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abstract = "For λ > -1 and μ ≥ 0, we consider a liner operator Iλ μ on the class A of analytic functions in the unit disk defined by the convolution (fμ) (-1) * f (z), where fμ = (1 - μ) z2F1(a, b, c; z) + μz(z2 F1(a, b, c; z)) ′, and introduce a certain new subclass of using this operator. Several interesting properties of these classes are obtained.",
author = "K. Al-Shaqsi and Maslina Darus",
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