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#### Search: #### Hankel_2

Function: hankel_2 (<v>, <z>) The Hankel function of the second kind of order v and argument z (A&S 9.1.4). `hankel_2` is defined as

bessel_j(v,z) - %i * bessel_y(v,z)

Maxima evaluates `hankel_2` numerically for a real order v and complex argument z in float precision. The numerical evaluation in bigfloat precision and for a complex order v is not supported.

When `besselexpand` is `true`, `hankel_2` is expanded in terms of elementary functions when the order v is half of an odd integer. See `besselexpand`.

Maxima knows the derivative of `hankel_2` wrt the argument z.

For examples see `hankel_1`.

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

### Related Examples

hankel_2 (v,z);

Calculate

##### hankel_2-powerseries

powerseries(hankel_2 ...

Calculate

##### hankel_2-powerseries-sin

powerseries(hankel_2(...

powerseries(sin(z),z,0);

Calculate

##### hankel_2-powerseries

powerseries(hankel_2(...

Calculate

##### hankel_2-powerseries-sin

powerseries(hankel_2(...

powerseries(sin(z),z,0);

Calculate

##### hankel_2-powerseries

powerseries(hankel_2 ...

Calculate

##### hankel_2-powerseries

powerseries(hankel_2 ...

Calculate

##### hankel_2-powerseries

powerseries(hankel_2 ...

Calculate

##### hankel_2-powerseries

powerseries(hankel_2(...

Calculate

##### hankel_2-powerseries-sin-taylor

powerseries(hankel_2(...

taylor(sin(z),z,0,3);

Calculate 