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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-diff

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

Calculate

bessel_k

v:0;

A:bessel_k(v, z);

for z:1 thru 100 do b...

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bessel_k

z:1;

v:0;

bessel_k(0,1);

Calculate

bessel_k

z:1;

v:0;

bessel_k(0,1);

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bessel_k

x:2;

n:3;

bessel_k(n,x);

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bessel_k-diff

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

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bessel_k

n:0;

A: bessel_k(n, x);

for x:0 thru 100 do d...

Calculate

bessel_k

v:0;

A:bessel_k(v, z);

for n:1 thru 100 do p...

Calculate

bessel_k

n:0;

A: bessel_k(n, x);

for x:0 thru 100 do A;

Calculate

bessel_k

n:0;

A: bessel_k(n, x);

for x:0 thru 100 do d...

Calculate