Functions analytic in a finite disk and having asymptotically prescribed characteristic
Functions analytic in a finite disk and having asymptotically prescribed characteristic
Let f(z) be analytic in the region \z\ < R (R ^ + oo).Then in the interval 0 ^ r < R, Nevanlinna's characteristic is known to be nonnegative, nondecreasing and convex in log r; however, it is not known whether these properties characterize completely T(r, /).Recently, A. Edrei and …