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Displaying similar documents to “A convexity property for an integral operator on the class 𝒰𝒮𝒯 ( k , γ ) .”

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

Kaliappan Vijaya, Gangadharan Murugusundaramoorthy, Murugesan Kasthuri (2014)

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

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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...

On new subclass of analytic functions with respect to symmetric points

Firas Ghanim, Maslina Darus (2009)

Archivum Mathematicum

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In the present paper, we obtain coefficient estimates for new subclass of analytic functions with respect to symmetric points. A sufficient condition for a function to belong to this class of function is also obtained.

Some Notes about a Class of Univalent Functions with Negative Coefficients

Pashkouleva, Donka (2010)

Fractional Calculus and Applied Analysis

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MSC 2010: 30C45, 30C50 The object of this paper is to obtain sharp results involving coefficient bounds, growth and distortion properties for some classes of analytic and univalent functions with negative coefficients.