Evaluates the Bessel function of the first kind for integer orders.
JN(z, order)
z |
- |
A series or scalar. |
order |
- |
Optional. An integer, the order. Defaults to 0. |
A real, series, or table the value of J_{n}(z) where z is the input and n is the integer order.
jn(3.0, 1)
returns the scalar 0.3390, the value of J_{1}(3).
z = 0..0.01..10;
y = jn(z, 0);
Generates the values of J_{0}(z), the Bessel function of the first kind for order 0 and inputs from 0 to 10.
Bessel functions are solutions to the differential equation:
where ν is the order, J_{ν}(z) is a solution of the first kind and Y_{ν}(z) is a linearly independent solution of the second kind For integer order
and
See BESSELJ to evaluate the Bessel function of the first kind for non-integer orders. Note that z and order are reversed for BESSELJ.
For integer orders, JN is faster than BESSELJ.
See YN to evaluate the Bessel function of the second kind for integer orders.