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

• Journal title : Kyungpook mathematical journal
• Volume 56, Issue 2,  2016, pp.597-610
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2016.56.2.597
Title & Authors
Some Inclusion Properties of New Subclass of Starlike and Convex Functions associated with Hohlov Operator
Sokol, Janusz; Murugusundaramoorthy, Gangadharan; Kothandabani, Thilagavathi;

Abstract
For a sufficiently adequate special case of the Dziok-Srivastava linear operator defined by means of the Hadamard product (or convolution) with Srivastava-Wright convolution operator, the authors investigate several mapping properties involving various subclasses of analytic and univalent functions, $\small{G({\lambda},{\alpha})}$ and $\small{M({\lambda},{\alpha})}$. Furthermore we discuss some inclusion relations for these subclasses to be in the classes of k-uniformly convex and k-starlike functions.
Keywords
Srivastava-Wright convolution operator;Starlike functions;Convex functions;Uniformly Starlike functions;Uniformly Convex functions;Hadamard product;Hohlov operator;Gaussian hypergeometric function;Dziok-Srivastava operator;
Language
English
Cited by
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