On meromorphic functions without Julia directions

Simple item page
dc.creatorChern, Tien-Yu Peter
dc.date2006-04-11
dc.date2006-11-11
dc.date.accessioned2026-07-07T07:10:45Z
dc.date.available2026-07-07T07:10:45Z
dc.descriptionIt is proved that for any positive number $λ$, $1<λ<2$; there exists a meromorphic function $f$ with logarithmic order $λ$= $\displaystyle\limsup_{r\to+\infty}\frac{\log T(r,f)}{\log\log r}$ such that $f$ has no Julia directions, where $T(r,f)$ is the Nevanlinna characteristic function of $f$. (Note that A. Ostrowski has proved a {\it similar} result for $λ=2$ in 1926.)
dc.identifierhttps://arxiv.org/abs/math/0604244
dc.identifierhttp://arxiv.org/abs/math/0604244
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111523
dc.subjectComplex Variables
dc.titleOn meromorphic functions without Julia directions
dc.typetext

Files

Collections

arXiv