bessel-Bessel Functions

Interface

F_TYPE j0 (F_TYPE x)  

F_TYPE j1 (F_TYPE x)  

F_TYPE jn (int n, F_TYPE x)  

F_TYPE y0 (F_TYPE x)  

F_TYPE y1 (F_TYPE x)  

F_TYPE yn (int n, F_TYPE x)  

Description

jn() returns the value of the Bessel function of the first kind of order n.

y0() and y1() return the value of the Bessel function of the second kind of orders 0 and 1 respectively.

yn() returns the value of the Bessel function of the second kind of order n.

The value of x must be positive for the y family of Bessel functions. The value of n specifies some integer value.

Exceptions

Exceptional Argument          Routine Behavior

(y0(),y1(),yn())x < 0     Invalid argument

(y0(),y1(),yn())x = 0     Overflow

The j1() and jn() functions can result in an underflow as x gets small. The largest value of x for which this occurs is a function of n.

The y1() and yn() functions can result in an overflow as x gets small. The largest value of x for which this occurs is a function of n.