### The Maxima on-line user's manual

Algebra Calculator

#### Bessel_k

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

```     `bessel_k` is defined as
%pi csc(%pi v) (bessel_i(-v, z) - bessel_i(v, z))
-------------------------------------------------
2```

when v is not an integer. If v is an integer n, then the limit as v approaches n is taken.

```(%o1)                                true
(%i2) ```

### Related Examples

##### bessel_k-diff

diff( bessel_k(n, x),...

Calculate

##### bessel_k-integrate

integrate(x*bessel_k ...

Calculate

##### bessel_k

v:0;

A:bessel_k(v, n);

for n:1 thru 100 do b...

Calculate

##### bessel_k

v:0;

A:bessel_k(v, z);

for z:1 thru 100 do p...

Calculate

##### bessel_k-diff

diff( bessel_k(n,x), x);

Calculate

##### bessel_k

A: bessel_k(n, x);

n:0;

for x:0 thru 100 do d...

Calculate

z:1;

v:0;

bessel_k(0,1);

Calculate

z:1;

v:0;

bessel_k(0,1);

Calculate

z:1;

v:0;

bessel_k(0,1);

Calculate

##### bessel_k

v:0;

A(z):=bessel_k(v, z);

for z:1 thru 100 do ...

Calculate