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The Maxima on-line user's manual

Algebra Calculator

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Bessel_i

Function: bessel_i (<v>, <z>) The modified Bessel function of the first kind of order v and argument z.

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]);

bessel_i is defined as inf ==== - v - 2 k v + 2 k \ 2 z > ------------------- / k! gamma(v + k + 1) ==== k = 0

although the infinite series is not used for computations.

There are also some inexact matches for bessel_i. Try ?? bessel_i to see them.

(%o1)                                true
(%i2) 

Related Examples

bessel_i-powerseries

powerseries(bessel_i(...

Calculate

bessel_i-integrate

integrate(x*bessel_i(...

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-besselexpand-false-true

besselexpand: false;

bessel_i (1/2, x);

besselexpand: true;

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-besselexpand-false-true

besselexpand: false;

bessel_i (1/2, x);

besselexpand: true;

Calculate

bessel_i-besselexpand-false-sqrt-true

besselexpand: false;

bessel_i (1/2, sqrt(...

besselexpand: true;

Calculate

bessel_i-plot2d-sqrt
plot2d(-0.1*bessel_i(0,-x)/bessel_i(0,-sqrt(10))+0.1,[x,0,10*sqrt(0.1)]);

plot2d(-0.1*bessel_i(...

Calculate

bessel_i-besselexpand-false-sqrt-true

besselexpand: false;

bessel_i (1/2, sqrt(...

besselexpand: true;

Calculate