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We consider meromorphic starlike univalent functions that are also bi-starlike and find Faber polynomial coefficient estimates for these types of functions. A function is said to be bi-starlike if both the function and its inverse are starlike univalent.

The authors have retracted this article because the article contains major flaws in the proof of the main results. The results of the paper are invalid, since the assumption that the functionals considered are rotationally invariant is not valid. All authors have agreed to this retraction.

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Let piz) be an analytic function defined on the open unit disk D and p(0) = 1. Condition ß in terms of complex numbers D and real E with -1

Let $ \mathcal{H} $ denote the class of functions $ f $ which are harmonic and univalent in the open unit disc $ {D=\{z:|z|<1\}} $. This paper defines and investigates a family of complex-valued harmonic functions that are orientation preserving and univalent in $ \mathcal{D} $ and are related to the functions convex of order $ \beta(0\leq \beta <1) $, with respect to symmetric points. We obtain coefficient conditions, growth result, extreme points, convolution and convex combinations for the above harmonic functions.

and SL c as classes of α-convex and convex functions which respectively satisfy Key words: Convex functions, differential subordination, lemniscate Bernoulli.atakan SL(α) dan SL c sebagai kelas-kelas dari konveks-α and fungsi-fungsi kon-] 2 − 1 < 1. Dengan menggunakan hasil-hasil yang telah diperoleh se- Kata kunci: Fungsi Konveks, subordinasi diferensial, lemniscate Bernoulli.