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http://dx.doi.org/10.11568/kjm.2016.24.2.139

INCLUSION PROPERTIES OF A CLASS OF FUNCTIONS INVOLVING THE DZIOK-SRIVASTAVA OPERATOR  

Devi, Satwanti (Department of Mathematics Indian Institute of Technology)
Srivastava, H.M. (Department of Mathematics and Statistics University of Victoria)
Swaminathan, A. (Department of Mathematics Indian Institute of Technology)
Publication Information
Korean Journal of Mathematics / v.24, no.2, 2016 , pp. 139-168 More about this Journal
Abstract
In this work, we rst introduce a class of analytic functions involving the Dziok-Srivastava linear operator that generalizes the class of uniformly starlike functions with respect to symmetric points. We then establish the closure of certain well-known integral transforms under this analytic function class. This behaviour leads to various radius results for these integral transforms. Some of the interesting consequences of these results are outlined. Further, the lower bounds for the ratio between the functions f(z) in the class under discussion, their partial sums $f_m(z)$ and the corresponding derivative functions f'(z) and $f^{\prime}_m(z)$ are determined by using the coecient estimates.
Keywords
Analytic functions; Starlike and uniformly starlike functions with respect to symmetric points; Generalized hypergeometric functions; Dziok-Srivastava linear operator; Coecient estimates; Srivastava-Wright operator; Integral transforms; Komatu operator; Hohlov operator; Partial sums;
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