Multiple values and unicity problem of meromorphic mappings sharing different families of moving hyperplanes

• Autorzy: Giang H. H. , Nhung N. T.

Identyfikatory

DOI

10.1515/jaa-2018-0019

• Języki publikacji: EN

Abstrakty

EN

The purpose of this paper is to deal with the multiple values and unicity problem of meromorphic mappings of ℂ^m into ℙⁿ(ℂ) sharing different families of moving hyperplanes with a small identity set. We prove several uniqueness theorems for meromorphic mappings, which extend and improve some recent results.

Słowa kluczowe

EN

multiple values; meromorphic mapping; truncated multiplicity; moving hyperplane

PL

wartości wielokrotne; mapowanie meromorficzne; hiperpłaszczyzna ruchoma

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2018
• Tom: Vol. 24, nr 2
• Strony: 197--209
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Giang H. H.

• Faculty of Sciences, Electric Power University, 235-Hoang Quoc Viet, Cau Giay, Hanoi, Vietnam

autor

Nhung N. T.

• Department of Mathematics and Informatics, Thang Long University, Nghiem Xuan Yem street, Hoang Mai, Hanoi, Vietnam

Bibliografia

• [1] G. Dethloff, S. D. Quang and T. V. Tan, A uniqueness theorem for meromorphic mappings with two families of hyperplanes, Proc. Amer. Math. Soc. 140 (2012), 189-197.
• [2] G. Dethloff and T. V. Tan, Uniqueness problem for meromorphic mappings with truncated multiplicities and moving targets, Nagoya J. Math. 181 (2006), 75-101.
• [3] H. Fujimoto, The uniqueness problem of meromorphic maps into the complex projective space, Nagoya Math. J. 58 (1975), 1-23.
• [4] P. H. Ha, S. D. Quang and D. D. Thai, Uniqueness problem with truncated multiplicities of meromorphic mappings in several complex variables sharing small identical sets for moving target, Internat. J. Math. 21 (2010), 1095-1120.
• [5] J. Noguchi and T. Ochiai, Introduction to Geometric Function Theory in Several Complex Variables, Transl. Math. Monogr. 80, American Mathematical Society, Providence, 1990.
• [6] D. D. Thai and S. D. Quang, Uniqueness problem with truncated multiplicities of meromorphic mappings in several complex variables for moving target, Internat. J. Math. 16 (2005), 903-939.
• [7] Z.-H. Tu, Uniqueness problem of meromorphic mappings in several complex variables for moving targets, Tohoku Math. J. 54 (2002), 567-579.
• [8] Z. Wang and Z.-H. Tu, Uniqueness theorems for meromorphic mappings in several complex variables into ℙN(ℂ) with two families of moving targets, Chin. Ann. Math. Ser. B 34 (2013), 719-732.