Landau’s theorem for functions with logharmonic Laplacian |
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| Authors: | Z. Abdulhadi Y. Abumuhanna |
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| Affiliation: | a Department of Mathematics, American University of Sharjah Sharjah, P.O. Box 26666, Sharjah, United Arab Emirates
b Department of Mathematics, School of Mathematics Sciences, Universiti Sains Malaysia, Malaysia |
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| Abstract: | 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 |
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| Keywords: | Logharmonic Harmonic Univalent Jacobian Orientation-preserving Starlike |
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