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Generalization of Certain Subclasses of Multivalent Functions with Negative Coefficients Defined by Cho-Kwon-Srivastava Operator
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Applied Mathematics·Volume 02 (2011)·Pages 1225–1235·Published 11 October 2011·DOI10.4236/am.2011.210171
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Abstract
Making use of the Cho-Kwon-Srivastava operator, we introduce and study a certain <i>SC<sub>n</sub></i> (<i>j, p, λ, α, δ</i>) of <i>p</i>-valently analytic functions with negative coefficients. In this paper, we obtain coefficient estimates, distortion theorem, radii of close-to-convexity, starlikeness and convexity and modified Hadamard products of functions belonging to the class <i>SC<sub>n</sub></i> (<i>j, p, λ, α, δ</i>). Finally, several applications investigate an integral operator, and certain fractional calculus operators also considered.
KeywordsMultivalent FunctionsCho-Kwon-Srivastava OperatorModified-Hadamard ProductFractional Calculus
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