Documentation/Calc Functions/BESSELK/en

Function name:
BESSELK

Category:
Add-in

Summary:
Calculates the value of a modified Bessel function of the second kind, usually referred to as Kn(x). n is the order of the function and x is the value at which the function is to be calculated.

Syntax:
BESSELK(X; N)

Returns:
Returns a real number which is the value of the modified Bessel function of the second kind, with a specified order, for a given value of x.

Arguments:
X is a positive real number, or a reference to a cell containing that number, which is the value at which the modified Bessel function of the second kind is to be calculated.

N is a non-negative integer, or a reference to a cell containing that number, which is the order of the modified Bessel function of the second kind.


 * If either X or N is non-numeric, then BESSELK reports a #VALUE! error.
 * If X is not greater than 0, then BESSELK reports an invalid argument error (Err:502).
 * If N is a non-integer value, then BESSELK truncates it to an integer.
 * If N is negative, then BESSELK reports an invalid argument error (Err:502).

Additional details:
The following figure shows a plot of the modified Bessel functions of the second kind for orders 0, 1, 2, and 3. Modified Bessel functions of the second kind are singular at the origin, x = 0.

ODF 1.2 indicates that the first argument to the BESSELK function should be an integer. However, this is considered an unnecessary limitation and Calc’s implementation caters for positive real values of X.

Related LibreOffice functions:
BESSELI

BESSELJ

BESSELY

ODF standard:
Section 6.16.14, part 2

Equivalent Excel functions:
BESSELK