Asymptotic Estimation for Eigenvalues in the Exponential Potential and for Zeros of $K_{\mathrm{i}\nu }(z)$ with Respect to Order

Yuri Krynytskyi, Andrij Rovenchak

The paper presents the derivation of the asymptotic behavior of $\nu$-zeros of the modified Bessel function of imaginary order $K_{\mathrm{i}\nu }(z)$. This derivation is based on the quas…