Asymptotic behavior of zeros of Bessel function derivatives

Árpád Baricz, Pranav Kumar, Saminathan Ponnusamy

We derive two distinct asymptotic expansions for the zeros $j_{\nu ,k}^{(n)}$ of the $n$-th derivative of Bessel function $J_{\nu }^{(n)}(x)$. The first is a McMahon-type expansion for the…