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Displaying similar documents to “Certain classes of univalent functions with negative coefficients and n -starlike with respect to certain points”

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.

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.