Logharmonic mappings on linearly connected domains
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DOI: 10.1007/s13324-019-00318-6
Abstract: A logharmonic mapping f is a mapping that is a solution of the nonlinear elliptic partial differential equation $$\dfrac{\overline{f_{ \overline{z}}}}{\overline{f}}=a\dfrac{f_{z}}{f}$$fz¯¯f¯=afzf. In this paper we investigate the univalence of logharmonic mappings of the form $$ f=zH\overline{G},$$f=zHG¯,… read more here.
Keywords: linearly connected; univalence; connected domains; logharmonic mappings ... See more keywords