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- M. OBRADOVIĆ, P. VASUNDHRA
- 2006

The main aim of this paper is to use the method of differential subordination to obtain a number of sufficient conditions for a normalized analytic function to be univalent or starlike in the unit disc. In particular, we find a condition on β so that each normalized analytic function f satisfying the condition 1 + zf (z) 2f (z) − zf (z) f (z) < β, z ∈ Δ… (More)

- M. OBRADOVIĆ
- 2009

Let S denote the class of normalized univalent functions f in the unit disk ∆. One of the problems addressed in this paper is that of the F-radius in G when F , G ⊂ S, namely the maximum value of r0 such that r −1 f (rz) ∈ G for all f ∈ F and 0 < r ≤ r0. The investigations are concerned primarily with the classes U and P(2) consisting of univalent functions… (More)

We derive the geodesic equation of motion in the presence of weak gravitational fields produced by relativistic sources such as cosmic strings, decomposed into scalar, vector and tensor parts. To test the result, we perform the first N-body simulations with relativistic weak gravitational external fields. Our test case is a moving straight string, for which… (More)

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