- #1
WWCY
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Homework Statement
I have an integral
$$\int_{-\infty}^{0} e^{-(jp - c)^2} \ dp$$
where j and c are complex, which I'd like to write in terms of ## \text{erf}##
I'd like to know what would happen to the integral limits as I make the change of variables ##t = jp - c##.
1) As ##p## tends to negative infinity, am I allowed to write the lower limit of the integral simply as ##-\infty##?
2) When ##p = 0##, the upper limit becomes ##t = -c##, which is a complex number. Does this mean that I am unable to write the integral as an error function?
Many thanks in advance.