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BESSELK function

Thu Aug 01, 2019 3:20 pm

BESSELK function



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



Description Returns the modified Bessel function, which is equivalent to the Bessel functions evaluated for purely imaginary arguments.



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



Image



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

    Image

    where I is the Bessel(I) 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


=BESSELK(1.2, 1)


Modified Bessel function at 1.2 with an order of 1.


0.434592393