Evaluates the Bessel function of the second kind for integer orders.
YN(z, order)
z |
- |
A series or scalar. |
order |
- |
Optional. An integer, the order. Defaults to 0. |
A real, series, or table the value of Y_{n}(z) where z is the input and n is the integer order.
yn(3.0,1)
returns 0.3246, the value of Y_{1}(3).
z = 0..0.01..1;
y = yn(z, 1);
Returns Y_{1}(z), the values of the Bessel function of the second kind for order 1 and inputs from 0 to 1.
Bessel functions are solutions to the differential equation:
where ν is the order J_{ν}(z) is a solution of the first kind. Y_{ν}(z) is a linearly independent solution of the second kind. For integer order ν = n:
and
See BESSELY to evaluate the Bessel function of the first kind for non-integer orders. Note that z and order are reversed for BESSELY.
For integer orders, YN is faster than BESSELY.
See JN to evaluate the Bessel function of the first kind for integer orders.