QUESTION ONE a. The function is the generating function of Jn (n), the Bessel function of order n. Use this fact to deri
Posted: Mon Jul 11, 2022 12:02 pm
QUESTION ONE a. The function is the generating function of Jn (n), the Bessel function of order n. Use this fact to derive the recurrence relation 2n Jn-1(x) + Jn+1 = ² Jn (x) b. Use the equations xJn(x) = XJn_1(x)−nJn(x) XJn (x) = -XJn+1(x) − nJn(x) to show that J₁'(x) = ( − ¹)J₁(x) − ² J₁(x)