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<p align="justify"> A mathematic model of Green function is build for two dimension free water surface. The analytic expression of Green function is obtained by introducing a parameter of complex number. The intrinsic properties of Green function are discussed for the special parameter values. The real and imaginary parts of<em> H</em> function are shown in the paper. </p

Inherent Properties of Two Dimension Green Function with Linear Boundary Condition of Free Water Surface