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Topic: Function Exp[x^2]*Erfc[x]
Replies: 2   Last Post: May 25, 2012 4:57 AM

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Leslaw Bieniasz

Posts: 173
Registered: 12/13/04
Function Exp[x^2]*Erfc[x]
Posted: Feb 17, 2012 6:30 AM
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MATHEMATICA is supposed to contain all known rules from tables of
functions etc. One of the very important special functions, related
to the function w(z) defined (for example) in Abramowitz and Stegun book,
is Exp[x^2]*Erfc[x]. Although it can be expressed formally as the product
of two other functions, Exp and Erfc, there is no effective way to compute
the values of the function in a wide range of x values, by using Exp and
Erfc, because of the overflow in Exp[]. There are known approximations
to Exp[x^2]*Erfc[x] (for example ones produced by Cody and co-workers
a few decades ago), but I don't see any support for the function in
MATHEMATICA. Is this indeed so, or I miss something?


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