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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,-3,3]);

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-exp-expintegral_e1-first-inf-quad_qagi

h=1/8*exp(0.008965753...

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

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

Calculate

bessel_j-exp-expintegral_e1-first-inf-quad_qagi

h=1/8*exp(0.0125)*(ex...

f(x):= exp(-x^2/8)/(0...

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

Calculate

bessel_j-exp-expintegral_e1-first-inf-quad_qagi

0.007614;

h=1.0712/8*exp(0.0081...

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

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-diff

diff( bessel_j(1, x),...

Calculate

bessel_j

bessel_j(0,x);

Calculate

bessel_j-diff-factor-sqrt

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

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

Calculate

bessel_j-plot2d-taylor
plot2d( f(x), [x,0,10] );

f(x) := bessel_j(0,x);

taylor(f(x),x,0,5);

plot2d( f(x), [x,0,10...

Calculate

bessel_j-exp-expintegral_e1-first-inf-quad_qagi

h=1/8*exp(0.0125)*(ex...

f(x):= exp(-x^2/8)/(0...

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

Calculate

bessel_j

b[n](x):=2*b[n-1](x)-...

b[0](x):=bessel_j(0,x);

b[1](x):=bessel_j(1,x);

Calculate