Geodesic
Starlike functions of complex order involving q-hypergeometric functions with fixed point
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica, no. 13 (2014).

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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 means inequalities for the function ƒ ∈ T Sξ(α, β,γ). 
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Vijaya, Kaliappan; Murugusundaramoorthy, Gangadharan; Kasthuri, Murugesan. Starlike functions of complex order involving q-hypergeometric functions with fixed point. Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica, no. 13 (2014). http://geodesic.mathdoc.fr/item/AUPCM_2014_13_a9/

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