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# Function complex

Create a complex value or convert a value to a complex value.


## Syntax

```js
math.complex()                           // creates a complex value with zero
                                         // as real and imaginary part.
math.complex(re : number, im : string)   // creates a complex value with provided
                                         // values for real and imaginary part.
math.complex(re : number)                // creates a complex value with provided
                                         // real value and zero imaginary part.
math.complex(complex : Complex)          // clones the provided complex value.
math.complex(arg : string)               // parses a string into a complex value.
math.complex(array : Array)              // converts the elements of the array
                                         // or matrix element wise into a
                                         // complex value.
math.complex({re: number, im: number})   // creates a complex value with provided
                                         // values for real an imaginary part.
math.complex({r: number, phi: number})   // creates a complex value with provided
                                         // polar coordinates
```

### Parameters

Parameter | Type | Description
--------- | ---- | -----------
`args` | * &#124; Array &#124; Matrix |  Arguments specifying the real and imaginary part of the complex number

### Returns

Type | Description
---- | -----------
Complex &#124; Array &#124; Matrix | Returns a complex value


## Examples

```js
const a = math.complex(3, -4)     // a = Complex 3 - 4i
a.re = 5                          // a = Complex 5 - 4i
const i = a.im                    // Number -4
const b = math.complex('2 + 6i')  // Complex 2 + 6i
const c = math.complex()          // Complex 0 + 0i
const d = math.add(a, b)          // Complex 5 + 2i
```


## See also

[bignumber](bignumber.md),
[boolean](boolean.md),
[index](index.md),
[matrix](matrix.md),
[number](number.md),
[string](string.md),
[unit](unit.md)