Article

# Classes of uniformly starlike and convex functions

International Journal of Mathematics and Mathematical Sciences 01/2004; DOI: 10.1155/S0161171204402014

Source: DOAJ

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**ABSTRACT:**In this paper, we define new classes of analytic functions using a general derivative operator which is a unification of the Slgean derivative operator, the Owa-Srivastava fractional calculus operator and the Al-Oboudi operator, and discuss some coefficient inequalities for functions belong to this classes.Kyungpook Mathematical Journal 01/2011; 51(3). - [Show abstract] [Hide abstract]

**ABSTRACT:**The object of the present paper is to investigate the distortion bounds for fractional calculus of functions in the class UT(Φ,Ψ,α,β) consisting of uniformly convex functions with negative coefficients. We further investigate the distortion bounds for functions in these classes under certain fractional integral operators and study their integral means properties.Southeast Asian Bulletin of Mathematics 01/2008; 32(4). - [Show abstract] [Hide abstract]

**ABSTRACT:**We obtain coefficient estimates, distortion theorems, convex linear combinations and radii of close-to-convexity, starlikeness and convexity for functions belonging to the class TS(g,λ;α,β). Furthermore partial sums f n (z) of functions f(z) in the class TS(g,λ;α,β) are considered and sharp lower bounds for the ratios of real part of f(z) to f n (z) and f ' (z) to f n ' (z) are determined.Matematicki Vesnik 01/2013; 65(1).

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