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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

a:bessel_j(nu,x^2);

b:bessel_j(nu-1,x);

Calculate

bessel_j-exp-expintegral_e1-first-inf-quad_qagi

h=1/8*exp(0.009359/8)...

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

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

Calculate

bessel_j-bessel_y-plot2d
plot2d(bessel_j(0,x)*bessel_y(1,5.6)/(bessel_j(0,7)*bessel_y(1,5.6)-bessel_y(0,7)*bessel_j(1,5.6))-bessel_y(0,x)*bessel_j(1,5.6)/(bessel_j(0,7)*bessel_y(1,5.6)-bessel_y(0,7)*bessel_j(1,5.6))-1/49,[x,0,200/7]);

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

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-collectterms-diff-factor-sqrt

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

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

collectterms(b) ;

Calculate

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

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

Calculate

bessel_j-diff-sqrt

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

diff(a,x,x) ;

Calculate

bessel_j-plot2d
plot2d( bessel_j(0,x) , [x,0,30] );

plot2d( bessel_j(0,x)...

Calculate

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

series(exp(x),x,0);

plot2d(bessel_j(1,sqr...

Calculate

bessel_j-exp-expintegral_e1-first-inf-quad_qagi

0.007614;

h=1.5699507/8*exp(0.0...

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

Calculate