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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-plot2d-sqrt
plot2d(bessel_j(1,sqrt(t^2-1)*10)*10/sqrt(t^2-1),[t,1,2]);

plot2d(bessel_j(1,sqr...

Calculate

bessel_j-diff-sqrt

a : diff(bessel_j(0,s...

diff(a,x,2) + diff(a,...

Calculate

bessel_j-exp-expintegral_e1-first-inf-quad_qagi

0.007614;

h=1.07112/8*exp(0.008...

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

Calculate

bessel_j-plot2d-sqrt
plot2d(bessel_j(1,sqrt(t^2-1)*20)*20/sqrt(t^2-1),[t,1,1.2]);

plot2d(bessel_j(1,sqr...

Calculate

bessel_j-diff-factor-sqrt-subst

a : diff(bessel_j(0,s...

b : factor(diff(a,x,2...

b1 : subst(0,bessel_j...

Calculate

bessel_j-exp-expintegral_e1-first-inf-quad_qagi

h=1/8*exp(0.10559/8)*...

f(x):= exp(-x^2...

z(r):=1/4*(first(q...

Calculate

bessel_j-bessel_y-plot2d
plot2d(bessel_j(0,x)*bessel_y(1,6)/(bessel_j(0,7.5)*bessel_y(1,6)-bessel_y(0,7.5)*bessel_j(1,6))-bessel_y(0,x)*bessel_j(1,6)/(bessel_j(0,7.5)*bessel_y(1,6)-bessel_y(0,7.5)*bessel_j(1,6))-1/7.5/7.5,[x,0,200/7.5]);

plot2d(bessel_j(0,x)*...

Calculate

bessel_j-exp-expintegral_e1-first-inf-quad_qagi

0.007614;

h=1.071135/8*exp(0.00...

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-exp-expintegral_e1-first-inf-quad_qagi

z=0.007614;

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

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

Calculate