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bessel_i-diff

diff( bessel_i(1, x),...

Calculate

bessel_i-plot2d-sqrt
plot2d(-0.01*bessel_i(0,-x)/bessel_i(0,-sqrt(100))+0.01,[x,0,10*sqrt(0.01)]);

plot2d(-0.01*bessel_i...

Calculate

bessel_i-plot2d
plot2d(bessel_i(0,x)*(-1/1/(bessel_i(0,-1)))+1,[x,-200,0]);

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

Calculate

bessel_i-plot2d
plot2d(-1/1*bessel_i(0,-x)/bessel_i(0,-1)+1/1,[x,0,200]);

plot2d(-1/1*bessel_i(...

Calculate

bessel_i-plot2d
plot2d(-1/1*bessel_i(0,-x)/bessel_i(0,-1)+1/1,[x,0,2000]);

plot2d(-1/1*bessel_i(...

Calculate

bessel_i-besselexpand-false-sqrt-true

besselexpand: false;

bessel_i (1/2, sqrt(...

besselexpand: true;

Calculate

bessel_i-plot2d-sqrt
plot2d(-0.01*bessel_i(0,-x)/bessel_i(0,-sqrt(100))+0.01,[x,0,10*sqrt(0.01)]);

plot2d(-0.01*bessel_i...

Calculate

bessel_i-plot2d
plot2d(-1/1*bessel_i(0,-x)/bessel_i(0,-1)+1/1,[x,0,2000]);

plot2d(-1/1*bessel_i(...

Calculate

bessel_i-diff

diff( bessel_i(1,x), x);

Calculate

bessel_i

Run Example
(%i1)integrate(exp(-x)*exp(-(x+y))*bessel_i(0,2*sqrt(x*y)),x);
                   /
                   [                            - y - 2 x
(%o1)              I bessel_i(0, 2 sqrt(x y)) %e          dx
                   ]
                   /
(%i2) 
Run Example
plot2d(10^x*(1-2*sqrt(10^x)*bessel_i(1,1/sqrt(10^x))/bessel_i(0,1/sqrt(10^x))),[x,-4,2]);
plotplot2d(10^x*(1-2*sqrt(10^x)*bessel_i(1,1/sqrt(10^x))/bessel_i(0,1/sqrt(10^x))),[x,-4,2]);
Run Example
integrate (bessel_i (1, x) , x, 0, al);
(%o1)                         1 - bessel_i(0, al)
(%i2) 

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