TY - JOUR
A2 - Loiseau, Jean Jacques
AU - Zhou, Jun
AU - Duan, Zhaoxia
PY - 2019
DA - 2019/08/06
TI - Partial and Local Argument Properties of Holomorphic and Meromorphic Complex Functions in Several Variables
SP - 7971495
VL - 2019
AB - The study describes a general argument analysis technique for holomorphic and meromorphic complex functions in several variables, or simply n-variable complex functions with n≥2. Argument analytic relationships for n-variable complex functions with significance similar to the argument principle for one-variable ones are retrieved partially and locally. More precisely, argument analysis in n-variable complex functions is carried out one-by-one in terms of each and all variables, namely, partially, so that argument-principle-like relations are established in poly-disc neighborhoods of the variable domains, namely locally. The technique is applicable graphically with loci plotting, independent of Cauchy integral contour and locus orientations; it is also numerically tractable without loci plotting via argument incremental integration. Numerical examples are included to illustrate the main results.
SN - 1024-123X
UR - https://doi.org/10.1155/2019/7971495
DO - 10.1155/2019/7971495
JF - Mathematical Problems in Engineering
PB - Hindawi
KW -
ER -