Classes of analytic functions with fractional powers defined by means of a certain linear operator

H. M. Srivastava, Maslina Darus, Rabha W. Ibrahim

Research output: Contribution to journalArticle

32 Citations (Scopus)

Abstract

Motivated by the success of the familiar Dziok-Srivastava convolution operator, we introduce here a closely-related linear operator for analytic functions with fractional powers. By means of this linear operator, we then define and investigate a class of analytic functions. Finally, we determine certain conditions under which the partial sums of the linear operator of bounded turning are also of bounded turning. We also illustrate an application of a fractional integral operator.

Original languageEnglish
Pages (from-to)17-28
Number of pages12
JournalIntegral Transforms and Special Functions
Volume22
Issue number1
DOIs
Publication statusPublished - Jan 2011

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Fractional Powers
Linear Operator
Mathematical operators
Analytic function
Dziok-Srivastava Operator
Convolution
Fractional Integral Operator
Convolution Operator
Partial Sums
Class

Keywords

  • Analytic functions
  • Bounded turning
  • Cesàro means
  • Close-to-convex functions
  • Convex functions
  • Dziok-srivastava linear operator
  • Fox-wright hypergeometric function
  • Fractional integral operator
  • Fractional powers
  • Generalized hypergeometric function
  • Hadamard product (or convolution)
  • Laplace transform
  • Partial sums
  • Subordination between analytic functions
  • Univalent functions

ASJC Scopus subject areas

  • Applied Mathematics
  • Analysis

Cite this

Classes of analytic functions with fractional powers defined by means of a certain linear operator. / Srivastava, H. M.; Darus, Maslina; Ibrahim, Rabha W.

In: Integral Transforms and Special Functions, Vol. 22, No. 1, 01.2011, p. 17-28.

Research output: Contribution to journalArticle

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