In article <1107559162.508814.123220@f14g2000cwb.googlegroups.com>,
Vladimir Bondarenko <vb@cybertester.com> wrote:
>isr...@math.ubc.ca (Robert Israel) writes on Feb 4, 2:39 pm


>With a serene look, I continue, What then about the following
>integral

>int(erf(z)*exp(z^2-z^4), z= 0..infinity);

>?

>If you would not be able to get to the answer here, Is there a
>person who can find the exact value of this integral?


I have not summed the series of expression, but it can be 
done in the following manner:

The not sufficiently well known expansion of exp(z^2)*erf(z)
is
        C*(z + 2*z^3/3 + 2^2*z^5/(3*5) + 2^3*z^7/(3*5*7) + ... )

This being a series of positive terms, it can be integrated
term by term.  It is certainly expressible in terms of
hypergeometric functions.

-- 
This address is for information only.  I do not claim that these views
are those of the Statistics Department or of Purdue University.
Herman Rubin, Department of Statistics, Purdue University
hrubin@stat.purdue.edu         Phone: (765)494-6054   FAX: (765)494-0558