Green's Function For The Three-variable Laplace Equation - Rotationally Invariant Green's Functions For The Three-variable Laplace Equation

Rotationally Invariant Green's Functions For The Three-variable Laplace Equation

Green's function expansions exist in all of the rotationally invariant coordinate systems which are known to yield solutions to the three-variable Laplace equation through the separation of variables technique.

  • cylindrical coordinates
  • spherical coordinates
  • Prolate spheroidal coordinates
  • Oblate spheroidal coordinates
  • Parabolic coordinates
  • Toroidal coordinates
  • Bispherical coordinates
  • Flat-ring cyclide coordinates
  • Flat-disk cyclide coordinates
  • Bi-cyclide coordinates
  • Cap-cyclide coordinates

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