Subordination results for some subclasses of analytic functions

El-Ashwah, R. M. ; Aouf, M. K. ; Shamandy, A. ; Ali, E. E.

Mathematica Bohemica, Tome 136 (2011) no. 3, pp. 311-331

Abstract (VO)

We introduce two classes of analytic functions related to conic domains, using a new linear multiplier Dziok-Srivastava operator $D_{\lambda ,\ell }^{n.q,s}$ $(n\in \mathbb N_{0}=\{ 0,1,\dots \}$, $q\leq s+1$; $q, s\in \mathbb N_{0}$, $0\leq \alpha 1$, $\lambda \geq 0$, $\ell \geq 0).$ 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.

Détail

DOI : 10.21136/MB.2011.141652

Classification : 30C45, 30C50, 30C80
Keywords: uniformly convex function; subordination; conic domain; Hadamard product

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