Homogeneous solutions for a class of singular partial differential equations

We recall that a spherical harmonic is a hotnegeneous function of x, y, z of certain degree n which satisfies Laplacc equation. Thus, if V(x,y,z.) is such a function of degree K, then xVx+yVy+zV2 = 7vN{\,y,7,), and = ~ important result in the theory of harmonic functions is that any harmonic function can be expressed in a series involving the spherical harmonics.

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  • Ankara Üniversitesi – Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Dergisi
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics-Cover
  • ISSN: 1303-5991
  • Yayın Aralığı: Yılda 4 Sayı
  • Başlangıç: 1948
  • Yayıncı: Ankara Üniversitesi