Reciprocal Difference

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, I. 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.