Abstract
In this paper, we study solutions of the quasilinear differential equation ¯ z¶¯ z f(z)+zzf(z)+(1−|z| 2 )¶z¶¯ z f(z)= f(z). We utilize harmonic mappings to obtain an explicit representation of solutions of this equation. By this result, we give two versions of Landau-type theorem under proper normalization conditions. AMS subject classifications: 30C99, 30C62 Chinese Library Classifications: O175.27
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