A Determinant which arises in the solution of the second-order Ordinary Differential Equation

(1) |

(2) |

(3) |

(4) |

(5) | |||

(6) | |||

(7) |

and is the variable to solve for. The determinant can be given explicitly by the amazing formula

(8) |

(9) |

leading to the implicit equation for ,

(10) |

**References**

Morse, P. M. and Feshbach, H. *Methods of Theoretical Physics, Part I.* New York:
McGraw-Hill, pp. 555-562, 1953.

© 1996-9

1999-05-25