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The Maxima on-line user's manual

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Bessel_j

Function: bessel_j (<v>, <z>) The Bessel function of the first kind of order v and argument z.

plot2d(bessel_j(0,x),[x,-2,2]);

bessel_j is defined as

inf ==== k - v - 2 k v + 2 k \ (- 1) 2 z > -------------------------- / k! gamma(v + k + 1) ==== k = 0

although the infinite series is not used for computations.

There are also some inexact matches for bessel_j. Try ?? bessel_j to see them.

(%o1)                                true
(%i2) 

Related Examples

bessel_j-integrate-sqrt

integrate(x*bessel_j(...

Calculate

bessel_j-exp-expintegral_e1-first-inf-quad_qagi

0.007614;

h=1.242560477/8*exp(0...

f(x):= exp(-x^...

Calculate

bessel_j-diff

diff( bessel_j(n,x), x);

Calculate

bessel_j-create_list-plot2d
plot2d(create_list(bessel_j(n,x),n,1,4), [x,0,10]);

plot2d(create_list(be...

Calculate

bessel_j-plot2d
plot2d(bessel_j(1,x)/x,[x,0,2]);

plot2d(bessel_j(1,x)/...

Calculate

bessel_j-exp-expintegral_e1-first-inf-quad_qagi

0.007614;

h=1.1/8*exp(0.008376/...

f(x):= exp(-x^...

Calculate

bessel_j-exp-expintegral_e1-first-inf-quad_qagi

z=0.007614;

h=1/8*exp(z/8)*(expin...

f(x):= exp(-x^...

Calculate

bessel_j-true

bessel_reduce:true;

bessel_j(2,x);

Calculate

bessel_j-integrate-sqrt

integrate(x*bessel_j(...

Calculate

bessel_j-integrate-sqrt

integrate(x*bessel_j(...

Calculate