Abstract
In this paper, we show the existence of Landau and Bloch constants for biharmonic mappings of the form L ( F ) . Here L represents the linear complex operator L = z ∂ ∂ z - z ¯ ∂ ∂ z ¯ defined on the class of complex-valued C 1 functions in the plane, and F belongs to the class of biharmonic mappings of the form F ( z ) = | z | 2 G ( z ) + K ( z ) ( | z | < 1 ) , where G and K are harmonic.
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