unit normal loss function

The function, $UNL$, is defined by

$$UNL(c)={\int }_c^{\mathrm{\infty }}(t-c)f(t)𝑑t$$

where $c$ is a constant and $f(.)$ is the normal probability distribution function.
An alternative computational formula for $UNL$ is the following:

$$UNL(z)=f(z)-z(1-F(z))$$

where $f(.)$ and $F(.)$ are the probability distribution function and cumulative distribution functionfor Standard Normal Distribution respectively.
Remark.This function has an extensive use in Risk Analysis and the Theory of Blackjack.