## Everett's Formula

 (1)

for , where is the Central Difference and
 (2) (3)

where are the Coefficients from Gauss's Backward Formula and Gauss's Forward Formula and are the Coefficients from Bessel's Finite Difference Formula. The s and s also satisfy
 (4) (5)

for
 (6)

References

Abramowitz, M. and Stegun, C. A. (Eds.). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, pp. 880-881, 1972.

Acton, F. S. Numerical Methods That Work, 2nd printing. Washington, DC: Math. Assoc. Amer., pp. 92-93, 1990.

Beyer, W. H. CRC Standard Mathematical Tables, 28th ed. Boca Raton, FL: CRC Press, p. 433, 1987.