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Starlike functions of complex order involving q-hypergeometric functions with fixed point

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Vijaya K., Murugusundaramoorthy G., Kasthuri M.

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

2014

tom 13

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).

Ograniczanie wyników

1 Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

1 Kasthuri M.

1 Murugusundaramoorthy G.

1 Vijaya K.

1 2014

Wyniki wyszukiwania

Starlike functions of complex order involving q-hypergeometric functions with fixed point