Difference analogues of the second main theorem for meromorphic functions in several complex variables

作者：Cao, Ting-Bin^*

来源：Mathematische Nachrichten, 2014, 287(5-6): 530-545.

DOI：10.1002/mana.201200234

• Meromorphic function
• difference operator
• Nevanlinna theory
• several complex variables
• 32A22
• 32H25
• 30D35

In this paper, we obtain difference analogues of the second main theorem for meromorphic functions in several complex variables from which difference analogues of Picard-type theorems are also obtained. Our results are improvements or extensions of some recent results of papers [Proc. Royal Soc. Edinburgh Section A Math. 137, 457-474 (2007); Comput. Meth. Funct. Theor. 12, No. 1, 343-361 (2012)]. The method we used is very different from theirs.

• 出版日期2014-4
• 单位南昌大学