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

Author

Ghanim, Firas and Darus, Maslina

Subjects
*MEROMORPHIC functions, *HYPERGEOMETRIC functions, *GENERALIZATION, *HADAMARD matrices, *ANALYTIC functions, *FIXED point theory, *CONVEX functions
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. [ABSTRACT FROM AUTHOR]

Published
2011
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