# Documentation

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# `dawson`

Dawson's integral

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## Syntax

```dawson(`x`)
```

## Description

`dawson(x)` represents Dawson's integral, which is defined as .

`dawson(x)` returns special values for x = 0 and . For all other symbolic values of x, unevaluated function calls are returned. Cf. Example 1.

## Environment Interactions

When called with floating-point arguments, this function is sensitive to the environment variable `DIGITS` which determines the numerical working precision.

## Examples

### Example 1

For the following arguments, special values are returned:

`dawson(0), dawson(infinity), dawson(-infinity)`

For other symbolic arguments, a symbolic call is returned:

`dawson(1), dawson(5+I)`

Floating point values are returned for floating-point arguments:

`dawson(0.0), dawson(1.0), dawson(-3.4 + 0.2*I)`

### Example 2

The functions `diff`, `float`, `limit`, and `series` handle expressions involving the dawson function:

`diff(dawson(x^2), x), float(dawson(7))`

`limit(x*dawson(x), x = infinity)`

`series(dawson(x), x = infinity, 4)`

## Parameters

 `x`

## Return Values

Arithmetical expression.

`x`