Author:
Padmanabhan K. S.,Parvatham R.
Abstract
Let Sa (h) denote the class of analytic functions f on the unit disc E with f (0) =0 = f′ (0) −1 satisfying , where (a real), denotes the Hadamard product of Ka with f, and h is a convex univalent function on E, with Re h > 0. Let . It is proved that F ε Sa (h) whenever f ε Sa (h) and also that for a ≥ 1. Three more such classes are introduced and studied here. The method of differential subordination due to Eenigenburg et al. is used.
Publisher
Cambridge University Press (CUP)
Reference9 articles.
1. New criteria for univalent functions
2. Some invariance properties of a subclass of close-to-convex functions;Goel;Indian J. Pure. Appl. Math.,1981
3. Some classes of regular univalent functions
4. All α-convex functions are univalent and starlike;Miller;Proc. Amer. Math. Soc.,1973
5. Certain analogy of the α-convex functions;Hassoon;Rev. Roum. Math. Pures et Appl.,1978
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