On $T$ points of algebroid functions

Year, pages: 2012, 39 - 48

In this paper, we firstly give a new definition, namely, the $T$ point of algebroid functions. Then by using Ahlfors' theory of covering surfaces, we prove the existence of these points for any $ν$-valued algebroid functions in the unit disk satisfying $\limsup_{r\to 1^-} ((T(r,w)) / ( log((1) / (1-r))))=+∞$. This extends the recent results of Xuan, Wu and Sun.

Wu, S., Xuan, Z. 2012. On $T$ points of algebroid functions. In Mathematica Slovaca, vol. 62, no.1, pp. 39-48. 0139-9918. DOI: https://doi.org/10.2478/s12175-011-0070-x

Wu, S., Xuan, Z. (2012). On $T$ points of algebroid functions. Mathematica Slovaca, 62(1), 39-48. 0139-9918. DOI: https://doi.org/10.2478/s12175-011-0070-x