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The Maxima on-line user's manual

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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

A: bessel_k(n, x);

n:0;

for x:0 thru 100 do d...

Calculate

bessel_k

v:0.1;

A:bessel_k(v, z);

for z:1.5 thru 1.55 d...

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 C...

Calculate

bessel_k

v:0.1;

A:bessel_k(v, z);

for z:1.5 thru 1.55 d...

Calculate

bessel_k-diff

diff( bessel_k(1,x), x);

Calculate

bessel_k

A: bessel_k(n, x);

n:0;

for x:0 thru 100 do d...

Calculate

bessel_k-diff

diff( bessel_k(1,x), x);

Calculate

bessel_k-integrate

integrate(x*bessel_k ...

Calculate