Everett,s Formula
المؤلف:
Abramowitz, M. and Stegun, I. A.
المصدر:
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover
الجزء والصفحة:
...
28-11-2021
1011
Everett's Formula
 |
(1)
|
for ![p in [0,1]](https://mathworld.wolfram.com/images/equations/EverettsFormula/Inline1.gif)
, where 
is the central difference and
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
for
 |
(8)
|
REFERENCES:
Abramowitz, M. and Stegun, I. 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.
Whittaker, E. T. and Robinson, G. "The Laplace-Everett Formula." §25 in The Calculus of Observations: A Treatise on Numerical Mathematics, 4th ed. New York: Dover, pp. 40-41, 1967.
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