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We consider a nonnegative superbiharmonic function $w$ satisfying
some growth condition near the boundary of the unit disk in the
complex plane. We shall find an integral representation formula
for $w$ in terms of the biharmonic Green function and a multiple
of the Poisson kernel. This generalizes a Riesz-type formula
already found by the author for superbihamonic functions $w$
satisfying the condition $0\leq w(z)\leq C(1-|z|)$ in the unit
disk. As in [1], we shall give an application in the theory of
weighted Bergman spaces.
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