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Ghanim, Firas; Darus, Maslina

A new class of meromorphically analytic functions with applications to the generalized hypergeometric functions. (English) Zbl 1223.30004

Abstr. Appl. Anal. 2011, Article ID 159405, 10 p. (2011).
Summary: 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.

Cited in 4 Documents

MSC:

30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
30D30 Meromorphic functions of one complex variable (general theory)
33C20 Generalized hypergeometric series, \({}_pF_q\)

Keywords:

meromorphically analytic functions; functions in the disk; starlike functions; generalized hypergeometric functions
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\textit{F. Ghanim} and \textit{M. Darus}, Abstr. Appl. Anal. 2011, Article ID 159405, 10 p. (2011; Zbl 1223.30004)
Full Text: DOI

References:

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