The reciprocal differences are closely related to the Divided Difference. The first few are explicitly
given by

(1) |

(2) |

(3) |

(4) |

**References**

Abramowitz, M. and Stegun, C. A. (Eds.).
*Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing.*
New York: Dover, p. 878, 1972.

Beyer, W. H. (Ed.) *CRC Standard Mathematical Tables, 28th ed.* Boca Raton, FL: CRC Press,
p. 443, 1987.

© 1996-9

1999-05-25