A Dirichlet type problem for complex polyharmonic functions

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.

13 pages

References in corpus (1)

• Summable solutions of some partial differential equations and generalised integral means

Cited by in corpus (2)

• On polyharmonic polynomials
• Spherical polyharmonics and Poisson kernels for polyharmonic functions