References
- Abdulhadi , Z , Muhanna , Y and Khuri , S . 2005 . On univalent solutions of the biharmonic equations . J. Inequal. Appl. , 2005 ( 5 ) : 469 – 478 .
- Lewy , H . 1936 . On the non-vanishing of the Jacobian in certain one-to-one mappings . Bull. Amer. Math. Soc. , 42 : 689 – 692 .
- Chen , H-H . 2001 . “ On the Bloch constant ” . In Approximation Complex Analysis, and Potential Theory , Edited by: Arakelian , N and Gauthier , PM . 129 – 161 . Dordrecht : Kluwer Academic Publishers .
- Laudau , E . 1926 . Der Picard-Schottysche Satz und die Blochsche Konstanten , 467 – 474 . Kl : Sitzungsber Press Akad . Wiss. Berlin Phys.-Math
- Chen , H-H , Gauthier , PM and Hengartner , W . 2000 . Bloch constants for planar harmonic mappings . Proc. Amer. Math. Soc. , 128 : 3231 – 3240 .
- Dorff , M and Nowak , M . 2000 . Landau's theorem for planar harmonic mappings . Comput. Meth. Funct. Theory , 4 : 151 – 158 .
- Grigoryan , A . 2006 . Landau and Bloch theorems for harmonic mappings . Complex Variable Theory Appl. , 51 ( 1 ) : 81 – 87 .
- Huang , XZ . 2008 . Estimates on Bloch constants for planar harmonic mappings . J. Math. Anal. Appl. , 337 : 880 – 887 .
- Abdulhadi , Z and Muhanna , YA . 2008 . Landau's theorem for biharmonic mappings . J. Math. Anal. Appl. , 338 : 705 – 709 .
- Graham , I and Kohr , G . 2003 . Geometric Function Theory in One and Higher Dimensions , New York : Marcel Dekker Inc .
- Liu , M-S . 2008 . Estimates on Bloch constants for planar harmonic mappings . Sci. China Ser. A-Math. , 38 ( 6 ) : 751 – 758 . (in Chinese)
- Liu , M-S . 2008 . Estimates on Bloch constants for planar harmonic mappings . Sci. China Ser. A-Math. , 51 ( 10 ) : 1681 – 1688 .