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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-diff

diff( bessel_j(1, x^2...

Calculate

bessel_j-exp-expintegral_e1-first-inf-quad_qagi

0.007614;

h=1.07/8*exp(0.008147...

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

Calculate

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

f(x):=(1+bessel_j(0,x...

g(x):=(1-bessel_j(0,x...

d:diff(g(x),x,6);

Calculate

bessel_j-exp-expand-plot2d-realpart-sqrt
plot2d(ber(0,x),[x,0,10],[ylabel,"y"]);

ber(n,x):= realpart(e...

plot2d(ber(0,x),[x,0,...

plot2d(ber(0,x)/exp(x...

Calculate

bessel_j-plot2d-sqrt
plot2d(bessel_j(1,sqrt(t^2-1)*100)*100/sqrt(t^2-1),[t,0,2]);

plot2d(bessel_j(1,sqr...

Calculate

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-plot2d
plot2d(bessel_j (1, x),[x,-5,5]);

plot2d(bessel_j (1, x...

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-exp-plot2d-sqrt-taylor
plot2d(bessel_j(1,sqrt(t^2-1)*100)*100/sqrt(t^2-1),[t,0,2]);

taylor(exp(x)/x,x,0,3);

plot2d(bessel_j(1,sqr...

Calculate

bessel_j-plot2d-sqrt-taylor
plot2d(bessel_j(1,sqrt(t^2-1)*100)*100/sqrt(t^2-1),[t,1,2]);

taylor(bessel_j(1,sqr...

plot2d(bessel_j(1,sqr...

Calculate