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bessel_i-plot2d-sqrt
plot2d(-0.3*bessel_i(0,-x)/bessel_i(0,-sqrt(10/3))+0.3,[x,0,10*sqrt(0.3)]);

plot2d(-0.3*bessel_i(...

Calculate

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

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

Calculate

bessel_i-taylor

taylor( bessel_i(1, x...

Calculate

bessel_i-diff

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

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

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

Calculate

bessel_i-integrate

integrate(x*bessel_i(...

Calculate

bessel_i-plot2d
plot2d(-1/1*bessel_i(0,-x)/bessel_i(0,-1)+1/1,[x,0,500]);

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

Calculate

bessel_i-exp-integrate-sqrt

integrate(exp(-x)*exp...

Calculate

bessel_i-plot2d-sqrt
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]);

plot2d(10^x*(1-2*sqrt...

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
besselexpand: false;
(%o1)                                false
(%i2)  bessel_i (1/2, sqrt(3));
                                      1
(%o2)                        bessel_i(-, sqrt(3))
                                      2
(%i3)  besselexpand: true;
(%o3)                                true
(%i4)  bessel_i (1/2, sqrt(3));
                             sqrt(2) sinh(sqrt(3))
(%o4)                        ---------------------
                                 1/4
                                3    sqrt(%pi)
(%i5) 

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