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http://dx.doi.org/10.5666/KMJ.2016.56.2.597

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

Sokol, Janusz (Department of Mathematics, Rzeszow University of Technology)
Murugusundaramoorthy, Gangadharan (School of advanced Sciences, VIT University)
Kothandabani, Thilagavathi (School of advanced Sciences, VIT University)
Publication Information
Kyungpook Mathematical Journal / v.56, no.2, 2016 , pp. 597-610 More about this Journal
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, $G({\lambda},{\alpha})$ and $M({\lambda},{\alpha})$. 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;
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