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 :

Equation for the Exponential of a Complex Number
See Wikipedia for more information on complex numbers.

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
- A complex number encased in quotation marks - eg. "5+3i"
- A reference to a cell containing a complex number or a numeric value
- 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.

The format of the functions are shown in the spreadsheet on the left and the resulting values are shown in the spreadsheet on the right.

Examples of use of the Excel Imexp Function
Excel Imexp Function 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.

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