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A+ CATEGORY SCIENTIFIC UNIT

A class of functions containing polyharmonic functions in

Volume 82 / 2003

V. Anandam, M. Damlakhi Annales Polonici Mathematici 82 (2003), 241-250 MSC: Primary 31B30. DOI: 10.4064/ap82-3-5

Abstract

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

Authors

  • V. AnandamDepartment of Mathematics
    King Saud University
    P.O. Box 2455
    Riyadh 11451, Saudi Arabia
    e-mail
  • M. DamlakhiDepartment of Mathematics
    King Saud University
    P.O. Box 2455
    Riyadh 11451, Saudi Arabia
    e-mail

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