The Yosida Class is Universal

Abstract

We discuss families of meromorphic functions f h obtained from single functions f by the re-scaling processThe main objective is to obtain information on the value distribution of the generating functions f themselves. Among the most prominent generalised Yosida functions are first, second and fourth Painlevé transcendents. The Yosida class contains all limit functions of generalised Yosida functions-the Yosida class is universal.