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Some Inclusion Properties of New Subclass of Starlike and Convex Functions associated with Hohlov Operator

GANGADHARAN. MURUGUSUNDARAMOORTHY|Janusz Sokol|Thilagavathi Kothandabani
경북대학교 자연과학대학 수학과|2016.06|Kyungpook Mathematical Journal|제56권 제2호|pp. 597-610

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참고문헌

키워드

Hohlov operatorHadamard productConvex functionsStarlike functionsGaussian hypergeometric functionSrivastava-Wright convolution operatorUniformly Starlike functionsUniformly Convex functionsDziok-Srivastava operator.
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초록

For a sufficiently adequate specialcase of the Dziok?Srivastava linear operator defined by means ofthe Hadamard product (or convolution) with Srivastava-Wrightconvolution operator, the authors investigate several mappingproperties involving various subclasses of analytic and univalentfunctions,$G(\lambda,\alpha)$ and$M(\lambda,\alpha).$ Furthermore we discuss some inclusion relationsfor these subclasses to be in the classes of $k$-uniformly convexand $k$-starlike functions.

Abstract

For a sufficiently adequate specialcase of the Dziok?Srivastava linear operator defined by means ofthe Hadamard product (or convolution) with Srivastava-Wrightconvolution operator, the authors investigate several mappingproperties involving various subclasses of analytic and univalentfunctions,$G(\lambda,\alpha)$ and$M(\lambda,\alpha).$ Furthermore we discuss some inclusion relationsfor these subclasses to be in the classes of $k$-uniformly convexand $k$-starlike functions.

참고문헌 (16)

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