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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-diff-plot2d
plot2d(g(x), [x,0,10]);

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

plot2d(g(x), [x,0,10]);

Calculate

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

plot2d(bessel_j (0, x...

Calculate

bessel_j

bessel_j(1, 1);

Calculate

bessel_j-exp-expintegral_e1-first-inf-quad_qagi

h=3/8*exp(0.0125)*(ex...

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

z(r):=3/4*(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-hankel_1-hankel_2

bessel_j(2/3,0.5);

bessel_y(2/3,0.5);

hankel_1(2/5,0.5);

Calculate

bessel_j-cos-diff-expand-legendre_p-sin-trigsimp

eqn1:bessel_j(l,r)*le...

diff(r^2*diff(eqn1,r)...

s2:diff(sin(theta)*di...

Calculate

bessel_j-besselexpand-false-true

besselexpand: false;

bessel_j (3/2, z);

besselexpand: true;

Calculate

bessel_j-create_list-plot2d
plot2d(create_list(bessel_j(n,x),n,1,4), [x,0,10]);

plot2d(create_list(be...

Calculate

bessel_j-diff-sqrt

diff(bessel_j(0,sqrt(...

Calculate