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On Certain Subclasses of Meromorphic Functions with Positive and Fixed Second Coefficients Involving the Liu-Srivastava Linear Operator
Author(s) -
N. Magesh,
N. B. Gatti,
S. Mayilvaganan
Publication year - 2012
Publication title -
isrn mathematical analysis
Language(s) - English
Resource type - Journals
eISSN - 2090-4665
pISSN - 2090-4657
DOI - 10.5402/2012/698307
Subject(s) - algorithm , computer science
We introduce and study a subclass Σ(,,,) of meromorphic univalent functions defined by certain linear operator involving the generalized hypergeometric function. We obtain coefficient estimates, extreme points, growth and distortion inequalities, radii of meromorphic starlikeness, and convexity for the class Σ(,,,) by fixing the second coefficient. Further, it is shown that the class Σ(,,) is closed under convex linear combination.

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