An extremal problem associated with the spread relation. II (Q1063728)

[For part I see the authors in ibid. 5, 71-83 (1982; Zbl 0491.30025).] Suppose that f is meromorphic in the plane. The spread relation, proved by the reviewer in 1973, implies the sharp bound \[ \overline{\lim}_{r\to \infty}meas\{\theta:\quad \log | f(re^{i\theta})| \geq \Lambda (r)\}\leq 4\phi^{-1}\sin^{- 1}(\delta (\infty,f)/2)^{1/2} \] where \(\phi\) is the order of f and \(\Lambda (r)=o(T(r,f))\). The reviewer, Edrei-Fuchs, and one of the authors have studied functions for which equality holds. Here the authors prove some further results about the extremal functions.