R. M. El-Ashwah, M. K. Aouf, A. Shamandy, E. E. Ali, Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt, e-mail: r_elashwah@yahoo.com, mkaouf127@yahoo.com, shamandy16@hotmail.com, ekram_008eg@yahoo.com
Abstract: We introduce two classes of analytic functions related to conic domains, using a new linear multiplier Dziok-Srivastava operator $D_{\lambda,\ell}^{n.q,s}$ $(n\in\mathbb N_0=\{ 0,1,\dots\}$, $q\leq s+1$; $q, s\in\mathbb N_0$, $0\leq\alpha<1$, $\lambda\geq0$, $\ell\geq0).$ Basic properties of these classes are studied, such as coefficient bounds. Various known or new special cases of our results are also pointed out. For these new function classes, we establish subordination theorems and also deduce some corollaries of these results.
Keywords: uniformly convex function, subordination, conic domain, Hadamard product
Classification (MSC 2010): 30C45
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