The main aim of this paper is to investigate properties of certain class of logharmonic mappings. Initially, we establish the argument principle of sense-preserving mappings \(F=h\overline{g}+H\overline{G}\) , where h, g, H and G are analytic functions. As applications, we obtain a direct extension of Rouché’s theorem, open mapping theorem and minimal area image of sense-preserving logharmonic mappings. Furthermore, we present an estimate for the modulus of the partial derivative of K-quasiconformal logharmonic mappings, and by using it, we get a Schwarz type lemma of K-quasiconformal logharmonic mappings. Finally, we obtain estimates of \(\frac{h''(0)}{2}\) and \(\frac{g''(0)}{2}\) for univalent sense-preserving logharmonic mappings \(f=h\overline{g}\) in the unit disk.
