Bessel Function Jn(x) (Not in Base Package)
Calculates the Bessel function of the first kind of order n for any real number x. Details
Calculates the Bessel function of the first kind of order n for any real number x. Details
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x is any real number. |
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n is the nonnegative order (integer) of the Bessel function. |
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Jn(x) is the Bessel function of the first kind of order n, where both x and n are given. |
The Bessel function 
is defined by
Generally the power series for is not computationally useful. More useful are recurrence relations and rational approximations of 
and
.
The recurrences are
The treatment of the cases x 
n and x > n is completely different for the sake of accuracy.