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Scaled_bessel_i

Function: scaled_bessel_i (<v>, <z>) The scaled modified Bessel function of the first kind of order v and argument z. That is, scaled_bessel_i(v,z) = exp(-abs(z))*bessel_i(v, z). This function is particularly useful for calculating bessel_i for large z, which is large. However, maxima does not otherwise know much about this function. For symbolic work, it is probably preferable to work with the expression exp(-abs(z))*bessel_i(v, z).

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

(%o1)                                true
(%i2) 

Related Examples

bessel_i-plot2d
plot2d(-1/1*bessel_i(0,-x)/bessel_i(0,-1)+1/1,[x,0,10]);

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

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,0,2000]);

plot2d(-1/1*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-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-besselexpand-false-sqrt-true

besselexpand: false;

bessel_i (1/2, sqrt(...

besselexpand: true;

Calculate

bessel_i-besselexpand-false-sqrt-true

besselexpand: false;

bessel_i (1/2, sqrt(...

besselexpand: true;

Calculate

bessel_i-plot2d-sqrt
plot2d(-0.3*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-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