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BESSELJ function

Fri Aug 02, 2019 12:21 pm

BESSELJ function



This article describes the formula syntax and usage of the BESSELJ function in Microsoft Excel.



Description Returns the Bessel function.



Bessel functions, are canonical solutions y(x) of Bessel's differential equation:



Image



Syntax BESSELJ(X, N) The BESSELJ function syntax has the following arguments:
  • X Required. The value at which to evaluate the function.
  • N Required. The order of the Bessel function. If n is not an integer, it is truncated.
Remarks
  • If x is nonnumeric, BESSELJ returns the #VALUE! error value.
  • If n is nonnumeric, BESSELJ returns the #VALUE! error value.
  • If n < 0, BESSELJ returns the #NUM! error value.
  • The n-th order Bessel function of the variable x is:



    Image



    where:

    Image

    is the Gamma function.
Example Copy the example data in the following table, and paste it in cell A1 of a new Excel worksheet. For formulas to show results, select them, press F2, and then press Enter. If you need to, you can adjust the column widths to see all the data.



Formula


Description


Result


=BESSELJ(1.9, 2)


Bessel function at 1.9 with an order of 2.


0.329925829