Geodesic
On some systems of non-algebraic equations in $\mathbb C^n$
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 7 (2014) no. 4, pp. 455-465

Voir la notice de l'article provenant de la source Math-Net.Ru

A method of finding residue integrals for systems of non-algebraic equations containing entire functions is presented in the paper. Such integrals are connected with the power sums of roots of certain system of equations. The proposed approach can be used for developing methods for the elimination of unknowns from systems of non-algebraic equations. It is shown that obtained results can be used for investigation some model of chemical kinetics.
Keywords: non-algebraic systems of equations, residue integral, power sums. 
@article{JSFU_2014_7_4_a4,
     author = {Olga V. Khodos},
     title = {On some systems of non-algebraic equations in $\mathbb C^n$},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {455--465},
     publisher = {mathdoc},
     volume = {7},
     number = {4},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2014_7_4_a4/}
}
TY  - JOUR
AU  - Olga V. Khodos
TI  - On some systems of non-algebraic equations in $\mathbb C^n$
JO  - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
PY  - 2014
SP  - 455
EP  - 465
VL  - 7
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JSFU_2014_7_4_a4/
LA  - en
ID  - JSFU_2014_7_4_a4
ER  - 
%0 Journal Article
%A Olga V. Khodos
%T On some systems of non-algebraic equations in $\mathbb C^n$
%J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
%D 2014
%P 455-465
%V 7
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JSFU_2014_7_4_a4/
%G en
%F JSFU_2014_7_4_a4
Olga V. Khodos. On some systems of non-algebraic equations in $\mathbb C^n$. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 7 (2014) no. 4, pp. 455-465. http://geodesic.mathdoc.fr/item/JSFU_2014_7_4_a4/