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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-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-plot2d-sqrt
plot2d(bessel_j(1,sqrt(t^2-1)*40)*40/sqrt(t^2-1),[t,1,1.2]);

plot2d(bessel_j(1,sqr...

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=1/8*exp(0.007614/8)...

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

Calculate

bessel_j-exp-expintegral_e1-first-inf-quad_qagi

h=6/8*exp(0.0125)*(ex...

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

z(r):=6/4*(first(quad...

Calculate

bessel_j-exp-expintegral_e1-first-inf-quad_qagi

h=1.79804/8*exp(0.013...

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

z(r):=1.79804/4*(f...

Calculate

bessel_j-plot2d-sqrt
plot2d(bessel_j(1,sqrt(t^2-1)*10)*10/sqrt(t^2-1),[t,0,2]);

plot2d(bessel_j(1,sqr...

Calculate

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

plot2d(bessel_j (0, r...

Calculate

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

plot2d( bessel_j(0,x)...

Calculate