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f is a holomorphic polynomial and if

[tex]$\oint_{\partial D(0,1)}f(z)\bar{z}^{j}dz=$ 0 for j = 0,1,2,3...[/tex]

where [tex]$\partial D(0,1)$[/tex] is the boundary of a disc of radius 1 centered at 0

prove f [tex]$\equiv$[/tex]0

[tex]$\oint_{\partial D(0,1)}f(z)\bar{z}^{j}dz=$ 0 for j = 0,1,2,3...[/tex]

where [tex]$\partial D(0,1)$[/tex] is the boundary of a disc of radius 1 centered at 0

prove f [tex]$\equiv$[/tex]0

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