Landau’s theorem for functions with logharmonic Laplacian

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摘要

In this paper, we show the existence of Landau constant for functions with logharmonic Laplacian of the form F(z) = ∣z∣2L(z) + K(z), ∣z∣ < 1, where L is logharmonic and K is harmonic. Moreover, the problem of minimizing the area is solved

论文关键词：Logharmonic,Harmonic,Univalent,Jacobian,Orientation-preserving,Starlike

论文评审过程：Available online 9 January 2012.

论文官网地址：https://doi.org/10.1016/j.amc.2011.12.047