Question
how that between every successive pair of zeros of J0(x) there exists a zero of J1(x).
Answer :
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Let (J_0(x)) and (J_1(x)) be Bessel functions of the first kind of order 0 and 1, respectively. We want to show that between every successive pair of zeros of (J_0(x)), there exists a zero of (J_1(x)). The key is the recurrence relation for Bessel functions: [ J_0'(x) = -J_1(x)
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