A new class of meromorphically analytic functions with applications to the generalized hypergeometric functions

Firas Ghanim, Maslina Darus

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

We introduce a new subclass of meromorphically analytic functions, which is defined by means of a Hadamard product (or convolution). A characterization property such as the coefficient bound is obtained for this class. The other related properties, which are investigated in this paper, include the distortion and the radius of starlikeness. We also consider several applications of our main results to the generalized hypergeometric functions.

Original languageEnglish
Article number159405
JournalAbstract and Applied Analysis
Volume2011
DOIs
Publication statusPublished - 2011

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Generalized Hypergeometric Function
Analytic function
Hadamard Product (or convolution)
Coefficient Bounds
Starlikeness
Convolution
Radius
Class

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

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abstract = "We introduce a new subclass of meromorphically analytic functions, which is defined by means of a Hadamard product (or convolution). A characterization property such as the coefficient bound is obtained for this class. The other related properties, which are investigated in this paper, include the distortion and the radius of starlikeness. We also consider several applications of our main results to the generalized hypergeometric functions.",
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