It is well known that, when is an entire function of order and , then the limit lim sup is finite as through all values or outside a set of finite measure. But for , Hayman has shown that the assertion does not hold by constructing an entire function and an exceptional set of even infinite measure. In this paper, we will further extend his result to the case where is an algebroid function of order .
Cite this article
Tomohiko Sato, Die Nevanlinna-Charakteristik von algebroiden Funktionen und ihren Ableitungen. Z. Anal. Anwend. 21 (2002), no. 1, pp. 265–272DOI 10.4171/ZAA/1078