A class of functions containing polyharmonic functions in ℝⁿ

• Autorzy: V. Anandam , M. Damlakhi
• Języki publikacji: EN

Abstrakty

EN

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

Kategorie tematyczne

• 31B30: Biharmonic and polyharmonic equations and functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2003
• Tom: 82
• Numer: 3
• Strony: 241-250

Daty

wydano

2003

Twórcy

autor

V. Anandam

• Department of Mathematics, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

autor

M. Damlakhi

• Department of Mathematics, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

Identyfikatory

DOI

10.4064/ap82-3-5