The Excel IMEXP Function

Related Function:
IMLN Function
Exponential of a Complex Number

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

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

Function Description

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

The syntax of the function is:

IMEXP( inumber )

where the inumber argument is the complex number that you want the exponential of.

Complex Numbers in Excel

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 any of the following:

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

Imexp Function Examples

The spreadsheets below show four examples of the Imexp function:

  A B
1   =IMEXP( 2 )
2   =IMEXP( "1-2i" )
3 2.5-i =IMEXP( A3 )
4   =IMEXP( COMPLEX( 1, -1 ) )
  A B
1   7.38905609893065
2   -1.13120438375681-2.47172667200482i
3 2.5-i 6.58222957819277-10.2512151905294i
4   1.46869393991589-2.28735528717884i

Note that, in the above example spreadsheet:

Further details and examples of the Excel Imexp function are provided 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.
#VALUE! - Occurs if the supplied inumber argument is a logical value.