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Spherical_bessel_j

Function: spherical_bessel_j (<n>, <x>) The spherical Bessel function of the first kind.

Reference: Abramowitz and Stegun, equations 10.1.8, page 437 and 10.1.15, page 439.

(%o1)                                true
(%i2) 

Related Examples

bessel_j-exp-expand-imagpart-plot3d-realpart
plot3d(ber(n,x),[n,-5,5],[x,-5,5]);

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

bei(n,x):= imagpart(e...

plot3d(ber(n,x),[n,-5...

Calculate

bessel_j

a:bessel_j(nu,x^2);

b:bessel_j(nu+1,x);

bessimp(a);

Calculate

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

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

plot2d( bessel_j(0,x)...

Calculate

bessel_j-diff-sqrt

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

diff(a,x) ;

Calculate

bessel_j-diff-factor-sqrt

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

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

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

Calculate

bessel_j-bessel_y-hankel_1-hankel_2

bessel_j(2/3,0.5);

bessel_y(2/3,0.5);

hankel_1(2/3,0.5);

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-exp-expintegral_e1-first-inf-quad_qagi

h=5/8*exp(0.0125)*(ex...

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

z(r):=5/4*(first(quad...

Calculate

bessel_j-exp-expintegral_e1-first-inf-quad_qagi

0.007614;

h=1.071137/8*exp(0.00...

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

Calculate