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.
See also
Erfc
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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.Referenced on Wolfram|Alpha
Erfc Differential Equation
Cite this as:
Weisstein, Eric W. "Erfc Differential Equation."
From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ErfcDifferentialEquation.html
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