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1. On Certain Subclasses of Meromorphic Functions with Positive and Fixed Second Coefficients Involving the Liu-Srivastava Linear Operator.

Author

Magesh, N., Gatti, N. B., and Mayilvaganan, S.

Subjects
*MEROMORPHIC functions, *LINEAR operators, *GENERALIZATION, *HYPERGEOMETRIC functions, *MATHEMATICAL inequalities, *COEFFICIENTS (Statistics)
Abstract

We introduce and study a subclass ΣP (γ, k, λ, c) 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 ΣP (γ, k, λ, c) by fixing the second coefficient. Further, it is shown that the class ΣP (γ, k, λ) is closed under convex linear combination. [ABSTRACT FROM AUTHOR]

Published
2012
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