Geodesic
On an Expansion of Almansi Type
Matematičeskie zametki, Tome 83 (2008) no. 3, pp. 370-380

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We obtain an expansion of Almansi type for functions satisfying the equation $\Delta_\lambda^mu=0$, where $\Delta_\lambda=\lambda_1\partial^2/\partial x_1^2+\dotsb+\lambda_n\partial^2/\partial x_n^2$ and $\lambda_k\ne0$.
Keywords: Almansi expansion, polyharmonic function, normalized system of functions, Laplace operator. 
@article{MZM_2008_83_3_a4,
     author = {V. V. Karachik},
     title = {On an {Expansion} of {Almansi} {Type}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {370--380},
     publisher = {mathdoc},
     volume = {83},
     number = {3},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2008_83_3_a4/}
}
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V. V. Karachik. On an Expansion of Almansi Type. Matematičeskie zametki, Tome 83 (2008) no. 3, pp. 370-380. http://geodesic.mathdoc.fr/item/MZM_2008_83_3_a4/