Geodesic
Computation of Biharmonic Poisson Kernel for the Upper Half Plane
Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 3, pp. 769-783

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Zbl MR
We first consider the biharmonic Poisson kernel for the unit disk, and study the boundary behavior of potentials associated to this kernel function. We shall then use some properties of the biharmonic Poisson kernel for the unit disk to compute the analogous biharmonic Poisson kernel for the upper half plane. 
Abkar, Ali. Computation of Biharmonic Poisson Kernel for the Upper Half Plane. Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 3, pp. 769-783. http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_3_a21/
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     title = {Computation of {Biharmonic} {Poisson} {Kernel} for the {Upper} {Half} {Plane}},
     journal = {Bollettino della Unione matematica italiana},
     pages = {769--783},
     year = {2007},
     volume = {Ser. 8, 10B},
     number = {3},
     zbl = {1182.31001},
     mrnumber = {2507895},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_3_a21/}
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