Write a Fortran program that evaluates the Bessel function of the first kind in m-th order at rho using the formula on slide 8 from Lecture 10 - Bessel Functions. Compare the Bessel function value your code calculates with the intrinsic function BESSEL_JN(m, rho) (Links to an external site.), see slide 25 of Lecture 10.
Hint: to avoid implementing the factorial calculation, use the GAMMA(x) intrinsic function (Links to an external site.).
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