Abstract
The generalized Dawson integral F(p,x) is considered. Closed formulae are given for the nth derivatives with respect to the arguments x and p in terms of the function itself. A recursion relation is developed which may be regarded as the (n+1)st-order differential equation satisfied by F(p,x). It is shown that known results concerning Dawson's function are merely specific cases of the generalized Dawson equation. The application of the successive derivatives of F(2,x) in the context of the Voigt spectrum line profiles is demonstrated.
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