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arXiv · 1610.04928

A Dirichlet type problem for complex polyharmonic functions

Hubert Grzebuła·Sławomir Michalik
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Abstract

We extend holomorphically polyharmonic functions on a real ball to a complex set being the union of rotated balls. We solve a Dirichlet type problem for complex polyharmonic functions with the boundary condition given on the union of rotated spheres.

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Hubert Grzebuła, Sławomir Michalik. 2017-05-18. A Dirichlet type problem for complex polyharmonic functions. https://doi.org/10.1007/s10474-017-0740-4

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