On the exceptional zeros of cross-products of derivatives of spherical Bessel functions (Q1073226)

The author obtains an asymptotic expansion for the lowest exceptional root of the equation \[ j'\!_{\nu}(x)y'\!_{\nu}(\rho x)- j'\!_{\nu}(\rho x)y'\!_{\nu}(x) \] where \('=d/dx\) and \(j_{\nu}\) and \(y_{\nu}\) denote the spherical Bessel functions of the first and secind kind, respectively. The result is valid for \(\rho\) \(\to 1\), and it can be thought of as complementing that given by McMahon which is useful for larger zeros.