A new version of the second main theorem for meromorphic mappings intersecting hyperplanes in several complex variables
Abstract
Let
c∈
C
m
,
f:
C
m
→
P
n
(C)
be a linearly nondegenerate meromorphic mapping over the field
P
c
of
c
-periodic meromorphic functions in
C
m
, and let
H
j
(1≤j≤q)
be
q(>2N−n+1)
hyperplanes in
N
-subgeneral position of
P
n
(C).
We prove a new version of the second main theorem for meromorphic mappings of hyperorder strictly less than one without truncated multiplicity by considering the Casorati determinant of
f
instead of its Wronskian determinant. As its applications, we obtain a defect relation, a uniqueness theorem and a difference analogue of generalized Picard theorem.