# The Excel IMEXP Function

Related Function:
IMLN Function
Exponential of a Complex Number

The exponential of a complex number is calculated by the following equation :

## Basic Description

The Excel Imexp function returns the exponential of a supplied complex number.

The format of the function is:

IMEXP( inumber )

where the inumber argument is a complex number.

Note that complex numbers are simply stored as text in Excel. When a text string in the format "a+bi" or "a+bj" is supplied to one of Excel's built-in complex number functions, this is interpreted as a complex number.

Also the complex number functions can accept a simple numeric value, as this is equivalent to a complex number whose imaginary coefficient is equal to 0.

Therefore, the inumber argument can be supplied to the Excel Imexp function as either:

• A simple number
or
• A complex number encased in quotation marks - eg. "5+3i"
or
• A reference to a cell containing a complex number or a numeric value
or
• A value returned from another Excel function or formula

These are all included in the examples below.

## Imexp Function Examples

The spreadsheet below shows 4 different examples of the Imexp function.

 Formulas: Results:

Note that, in cell B1 of the above spreadsheet, the supplied inumber argument is the integer 2, which is equal to the complex number 2+0i.

Further information and examples of the Excel Imexp function can be found on the Microsoft Office website

## Imexp Function Errors

If you get an error from the Excel Imexp Function, this is likely to be one of the following:

Common Errors
 #NUM! - Occurs if the supplied inumber argument is not recognised as a complex number #NAME? - Occurs when Analysis ToolPak add-in is not enabled in your Excel. You will need to enable the add-in if you want to use the Excel complex number functions.