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BesselJ function

BESSELJ(x,n) returns the Bessel function of the first kind of order n evaluated at x. x can be any real number. n is the order of the Bessel function; if it is not an integer, it is truncated.

The Bessel function of the first kind is defined by the integral:

$$ J_n(x) = \frac{1}{\pi}\int_0^\pi \cos(n\theta - x\sin\theta)\,d\theta $$

Examples

BESSELJ(0,0) equals 1

BESSELJ(1,0) equals 0.7651977

BESSELJ(1,1) equals 0.4400506

Calculator

BesselJ ,  0.030604023459

Graph

BesselJ function

Graph for different order parameters n

BesselJ function

Related functions

External links