A subclass of uniformly convex functions associated with a fractional calculus operator involving Caputo's fractional differentiation.

Salah, Jamal; Darus, Maslina

Displaying similar documents to “A subclass of uniformly convex functions associated with a fractional calculus operator involving Caputo's fractional differentiation.”

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On classes of uniformly starlike and convex functions with negative coefficients.

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

Kaliappan Vijaya, Gangadharan Murugusundaramoorthy, Murugesan Kasthuri (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...