A generating function for the spherical harmonics in p dimensions

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Abstracto

  • A generating function for the spherical harmonics in three or more dimensions is given. This function allows us to find in a simple manner the explicit expressions for the spherical harmonics in three dimensions. The generating functions for the spherical harmonics given here are analogous to certain well-known generating functions for solutions of the wave equation.

fecha de publicación

  • junio 2013

Palabras clave

  • Generating functions
  • Laplace equation
  • Spherical harmonics
  • Wave equation

Número de páginas

  • 6 páginas

Volumen

  • Vol.59 No.3