Elbert–Laforgia conjecture on McMahon bounds for Bessel zeros

Let $j_{\nu,\kappa}$ denote the $\kappa$th positive zero of the Bessel function $J_\nu$, and let McMahon's expansion be the asymptotic expansion for these zeros. For $-\frac{1}{2}<\nu<\frac{1}{2}$, an even (respectively odd) number of terms of McMahon's expansion always gives an upper (respectively lower) bound for $j_{\nu,\kappa}$. Elbert–Laforgia conjecture. For $-\frac{1}{2}<\nu<\frac{1}{2}$, an even (respectively odd) number of terms of McMahon's expansion always gives an upper (respectively lower) bound for $j_{\nu,\kappa}$. This conjecture extends known bounds for positive zeros of Bessel functions and concerns the sign and usefulness of successive truncations of McMahon's asymptotic expansion. The supplied text does not state whether it has been resolved.