In Conical Coordinates, Laplace's Equation can be written

(1) |

(2) | |||

(3) |

(Byerly 1959). Letting

(4) |

(5) |

(6) |

(7) |

(8) |

(9) |

**References**

Arfken, G. ``Conical Coordinates
.'' §2.16 in
*Mathematical Methods for Physicists, 2nd ed.* Orlando, FL: Academic Press, pp. 118-119, 1970.

Byerly, W. E. *An Elementary Treatise on Fourier's Series, and Spherical, Cylindrical, and Ellipsoidal Harmonics,
with Applications to Problems in Mathematical Physics.* New York: Dover, p. 263, 1959.

Morse, P. M. and Feshbach, H. *Methods of Theoretical Physics, Part I.* New York:
McGraw-Hill, pp. 514 and 659, 1953.

© 1996-9

1999-05-25