In this paper we generalize Bôcher's theorem for polyharmonic functions $u$. In fact, if $u$ is polyharmonic outside the origin and satisfies a certain integral condition, then it is shown that $u$ is written as the sum of partial derivatives of the fundamental solution and a polyharmonic function near the origin.
"A generalization of Bôcher's theorem for polyharmonic functions." Hiroshima Math. J. 31 (1) 59 - 70, March 2001. https://doi.org/10.32917/hmj/1151511148