Integral means and arclength inequalities for typically real logharmonic mappings (Q656687)

In this article, the authors study univalent logharmonic mappings. Following the papers by the first author [Int. J. Math. Math. Sci. 31, No. 1, 1--9 (2002; Zbl 1010.30016)] and \textit{A. Baernstein II} [Acta Math. 133, 139--169 (1996; Zbl 0315.30021)], they obtain some sharp integral means inequalities for typically real logharmonic mappings. Moreover, they determine an upper bound for arclenght in the same class of mappings.