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#### Search: #### Bessel_i

Function: bessel_i (<v>, <z>) The modified Bessel function of the first kind of order v and argument z. `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-besselexpand-false-sqrt-true

besselexpand: false;

bessel_i (1/2, sqrt(...

besselexpand: true;

Calculate

##### bessel_i-diff

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

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

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

Calculate

bessel_i(0,z);

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##### bessel_i-exp-integrate-sqrt

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

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##### bessel_i-plot2d-sqrt plot2d(-0.3*bessel_i(...

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##### bessel_i-integrate

integrate (bessel_i (...

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

Calculate

##### bessel_i-besselexpand-false-sqrt-true

besselexpand: false;

bessel_i (1/2, sqrt(...

besselexpand: true;

Calculate 