Erfc Differential Equation
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:
...
11-6-2018
1204
Erfc Differential Equation
The second-order ordinary differential equation
 |
(1)
|
whose solutions may be written either
 |
(2)
|
where 
is the repeated integral of the erfc function (Abramowitz and Stegun 1972, p. 299), or
 |
(3)
|
where 
is a Hermite polynomial and 
is a confluent hypergeometric function of the first kind.
REFERENCES:
Abramowitz, M. and Stegun, I. A. (Eds.). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, p. 299, 1972.
Zwillinger, D. Handbook of Differential Equations, 3rd ed. Boston, MA: Academic Press, p. 122, 1997.
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