Asymptotic values of meromorphic functions of finite order A. CantonDavid DrasinA. Granados 30D3030D4030D35meromorphic functionfinite orderasymptotic valuesubharmonic functionsRiesz mass The asymptotic values of a meromorphic function (of any order) defined in the complex plane form a Suslin-analytic set. Moreover, given an analytic set $A^{*}$ we construct a meromorphic function of finite order and minimal growth having $A^{*}$ as its precise set of asymptotic values. Indiana University Mathematics Journal 2010 text pdf 10.1512/iumj.2010.59.4030 10.1512/iumj.2010.59.4030 en Indiana Univ. Math. J. 59 (2010) 1057 - 1096 state-of-the-art mathematics http://iumj.org/access/