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A New Class of Meromorphically Analytic Functions with Applications to the Generalized Hypergeometric Functions

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  • Firas Ghanim
  • Maslina Darus

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.

Suggested Citation

  • Firas Ghanim & Maslina Darus, 2011. "A New Class of Meromorphically Analytic Functions with Applications to the Generalized Hypergeometric Functions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    • Handle: RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:159405
    DOI: 10.1155/2011/159405
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