A class of functions containing polyharmonic functions in ℝⁿ

V. Anandam; M. Damlakhi

V. Anandam ; M. Damlakhi

Annales Polonici Mathematici, Tome 81 (2003), p. 241-250 / Harvested from The Polish Digital Mathematics Library

Résumé

Some properties of the functions of the form $v (x) = \sum_{i = 0}^{m} {| x |}^{i} h_{i} (x)$ in ℝⁿ, n ≥ 2, where each $h_{i}$ is a harmonic function defined outside a compact set, are obtained using the harmonic measures.

Publié le : 2003-01-01

Zbl 1059.31005

EUDML-ID : urn:eudml:doc:280345

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     title = {A class of functions containing polyharmonic functions in Rn},
     journal = {Annales Polonici Mathematici},
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     year = {2003},
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     zbl = {1059.31005},
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V. Anandam; M. Damlakhi. A class of functions containing polyharmonic functions in ℝⁿ. Annales Polonici Mathematici, Tome 81 (2003) pp. 241-250. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap82-3-5/