Geodesic
Some further results on meromorphic functions that share two sets
Qi Han1 ; Hong-Xun Yi1
1 School of Mathematics and System Sciences Shandong University Jinan 250100, Shandong, People's Republic of China
Annales Polonici Mathematici, Tome 93 (2008) no. 1, pp. 17-31.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

This paper concerns the uniqueness of meromorphic functions and shows that there exists a set S⊂C of eight elements such that any two nonconstant meromorphic functions f and g in the open complex plane C satisfying E3)(S,f)=E3)(S,g) and E―(∞,f)=E―(∞,g) are identical, which improves a result of H. X. Yi. Also, some other related results are obtained, which generalize the results of G. Frank, E. Mues, M. Reinders, C. C. Yang, H. X. Yi, P. Li, M. L. Fang and H. Guo, and others.
DOI : 10.4064/ap93-1-2
Mots-clés : paper concerns uniqueness meromorphic functions shows there exists set subset mathbb eight elements nonconstant meromorphic functions complex plane mathbb satisfying overline infty overline infty identical which improves result other related results obtained which generalize results frank mues reinders yang fang guo others

Qi Han 1 ; Hong-Xun Yi 1

1 School of Mathematics and System Sciences Shandong University Jinan 250100, Shandong, People's Republic of China 
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Qi Han; Hong-Xun Yi. Some further results on meromorphic functions that share two sets. Annales Polonici Mathematici, Tome 93 (2008) no. 1, pp. 17-31. doi : 10.4064/ap93-1-2. https://geodesic-test.mathdoc.fr/articles/10.4064/ap93-1-2/
  • Mallick, Sanjay; Banerjee, Abhijit Uniqueness and two shared set problems of meromorphic functions in a different angle., Mathematica Bohemica, Volume 146 (2021) no. 1, pp. 19-45 | DOI:10.21136/mb.2019.0063-18 | Zbl:1499.30283
  • Sarkar, Arindam Uniqueness of meromorphic functions sharing two sets with least possible cardinalities, Analele Universitătii de Vest din Timisoara. Seria Matematică-Informatică, Volume 57 (2019) no. 2, pp. 112-130 | DOI:10.2478/awutm-2019-0019 | Zbl:1513.30164
  • Meng, Chao; Liu, Gang; Zhao, Liang Value sharing and uniqueness for the power of p-adic meromorphic functions, Journal of Applied Mathematics Informatics, Volume 36 (2018) no. 1-2, pp. 39-50 | DOI:10.14317/jami.2018.039 | Zbl:1388.30056
  • Banerjee, Abhijit On the uniqueness of meromorphic functions sharing two sets, Communications in Mathematical Analysis, Volume 9 (2010) no. 2, pp. 1-11 | Zbl:1195.30042
  • Banerjee, A. On the uniqueness of meromorphic functions that share two sets. II, Lobachevskii Journal of Mathematics, Volume 31 (2010) no. 3, pp. 244-256 | DOI:10.1134/s199508021003008x | Zbl:1252.30020

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