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

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

Calculate

bessel_j-diff-sqrt

diff(bessel_j(0,sqrt(...

Calculate

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

taylor(bessel_j(1,x),...

plot2d(bessel_j(1,sqr...

Calculate

bessel_j-display-find_root-kill-lambda-plot2d-sin
plot2d(I(theta),[theta,-2.5,2.5],[xlabel,"Theta"],[ylabel,"Intensity"]);

lkill(all);

display(v:(2*%pi/lamb...

v(theta):=(2*%pi/lamb...

Calculate

bessel_j-sqrt

smj:sqrt(1/2)*(-1+%i);

bessel_j(0,smj*4.6);

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

plot2d(bessel_j(1,sqr...

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-expintegral_e1-first-inf-quad_qagi

0.007614;

h=1.2845051992/8*exp(...

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

Calculate

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

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

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

plot2d( f(x), [x,0,30...

Calculate