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Excel BESSELJ Function

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If you want to follow along with this tutorial, please download the example spreadsheet.

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The Excel BESSELJ function returns the Bessel function, for a specified value x and order.

Syntax and arguments

Formula syntax



  • X: Required, the value at which the function is to be evaluated.
  • N: Required, the order of the Bessel function. Normally, it is an integer, if it is a decimal, it will be truncated.

Return Value

The BESSELJ function returns a numeric value.


The n-th order Bessel function of the variable x is:

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is the Gamma function.


1. If any arguments of BESSELJ function are nonnumeric values, #VALUE! value will be returned.

2. If argument n is less than zero, #NUM! value will be returned.


Excel 2003 and later

Usage and Examples


To calculate the Bessel function at 5 with an order of 2, please use the formula:


Or directly type the values in the function


Press Enter key to get the result.

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Relative Functions:

  • Excel BESSELI Function
    The Excel BESSELI function calculates the modified Bessel function, which is equivalent to the Bessel function evaluated for purely imaginary arguments.

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