Xiao-Min Li

collaborators

2 papers

math.CV2026

On existence questions for the functional equations $f^{8} + g^{8} + h^{8} = 1$ and $f^{6} + g^{6} + h^{6} = 1$

Xiao-Min Li, Hong-Xun Yi, Risto Korhonen

In 1985, W.K.Hayman (Bayer. Akad. Wiss. Math.-Natur. Kl. Sitzungsber, 1984(1985), 1-13.) proved that there do not exist non-constant meromorphic functions $f,$ $g$ and $h$ satisfyi…

math.CV2026

On a question of Gary G. Gundersen concerning meromorphic functions sharing three distinct values IM and a fourth value CM

Xiao-Min Li, Qing-Fei Zhai, Hong-Xun Yi

In 1992, Gundersen (Complex Var. Elliptic Equ.20 (1992), no. 1-4, 99-106.) proposed the following famous open question: if two non-constant meromorphic functions share three values…

On existence questions for the functional equations f8+g8+h8=1 and f6+g6+h6=1

On a question of Gary G. Gundersen concerning meromorphic functions sharing three distinct values IM and a fourth value CM

On existence questions for the functional equations $f^{8} + g^{8} + h^{8} = 1$ and $f^{6} + g^{6} + h^{6} = 1$