Let and be Polynomials of Degrees and with
Coefficients , ..., and , ..., . Take the contour in the upper half-plane, replace by ,
and write
. Then

(1) |

(2) |

Define

(3) |

and set

(4) |

(5) |

(6) |

(7) |

(8) |

(9) |

Since this must hold separately for Real and Imaginary Parts, this result can be
extended to

(10) |

(11) |

(12) |

**References**

Morse, P. M. and Feshbach, H. *Methods of Theoretical Physics, Part I.* New York: McGraw-Hill,
pp. 353-356, 1953.

© 1996-9

1999-05-26