BESSELJ(x,order)

Returns the Bessel function of the first kind at x for the specified order. The Bessel functions of the first kind are defined as the solutions to the Bessel differential equation:

Bessel differential equation

which are nonsingular at the origin. They are sometimes also called cylinder functions or cylindrical harmonics. The n-th order Bessel function of x is:

n-th order Bessel function

where:

Gamma function

is the Gamma function.

The plot below shows the Bessel function for n=0,1,2,3,4,5.

BESSELJ function

Order must be greater than or equal to 0. If order is not an integer, it is truncated. X must be greater than or equal to 0. For more information on the Bessel function see the reference at MathWorld.

See also:

BESSELY

 
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