Documentation/Calc Functions/BESSELJ/en

Function name:
BESSELJ

Category:
Add-in

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

Syntax:
BESSELJ(X; N)

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

Arguments:
X is a real number, or a reference to a cell containing that number, which is the value at which the Bessel function of the first 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 Bessel function of the first kind.


 * If either X or N is non-numeric, then BESSELJ reports a #VALUE! error.
 * If N is a non-integer value, then BESSELJ truncates it to an integer.
 * If N is negative, then BESSELJ reports an invalid argument error (Err:502).

Details specific to BESSELJ function
The following figure shows a plot of the Bessel functions of the first kind for orders 0, 1, 2, and 3. Bessel functions of the first kind are finite at the origin, x = 0. They exhibit odd or even parity depending on the order of the function, so that Jn(-x) = Jn(x) for even orders and Jn(-x) = -Jn(x) for odd orders.

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

Related LibreOffice functions:
BESSELI

BESSELK

BESSELY

ODF standard:
Section 6.16.13, part 2

Equivalent Excel functions:
BESSELJ