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

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

plot2d(bessel_j(1,sqr...

Calculate

bessel_j-diff-sqrt

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

diff(a,x) ;

Calculate

bessel_j-bessel_y-plot2d
plot2d(bessel_j(0,x)*bessel_y(1,2.4)/(bessel_j(0,3)*bessel_y(1,2.4)-bessel_y(0,3)*bessel_j(1,2.4))-bessel_y(0,x)*bessel_j(1,2.4)/(bessel_j(0,3)*bessel_y(1,2.4)-bessel_y(0,3)*bessel_j(1,2.4))-1/9,[x,0,200/3]);

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

Calculate

bessel_j-exp-expintegral_e1-first-inf-quad_qagi

0.007614;

h=1.428186494054/8*ex...

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

Calculate

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

plot2d(bessel_j(1,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-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

0.007614;

h=0.9319203579/8*exp(...

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

Calculate

bessel_j-diff-plot2d-taylor
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