We investigate -shift analogue of the lemma on logarithmic derivative of several variables. Let be a meromorphic function in of zero order such that , , and let . Then we have on a set of logarithmic density 1. The -shift analogue of the first and the second main theorems of Nevanlinna theory of several variables and their applications is also shown.
Zhi-Tao Wen. "The -Difference Theorems for Meromorphic Functions of Several Variables." Abstr. Appl. Anal. 2014 1 - 6, 2014. https://doi.org/10.1155/2014/736021