Certain subclasses of uniformly starlike and convex functions defined by convolution with negative coefficients
M. K. Aouf, A. A. Shamandy, A. O. Mostafa, A. K. Wagdy (2013)
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Recently Kanas and Ronning introduced the classes of starlike and convex functions, which are normalized with ƒ(ξ) = ƒ0(ξ) − 1 = 0, ξ (|ξ| = d) is a fixed point in the open disc U = {z ∈ ℂ: |z| < 1}. In this paper we define a new subclass of starlike functions of complex order based on q-hypergeometric functions and continue to obtain coefficient estimates, extreme points, inclusion properties and neighbourhood results for the function class T Sξ(α, β,γ). Further, we obtain integral...
Aouf, M.K., Hidan, M.M. (2010)
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