Geodesic
The calculation of monomial functions for solving the general system of algebraic equations
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 5 (2012) no. 3, pp. 409-416.

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

This paper presents a representation for the monomial $y^\mu(x)$ the solution $y(x)=(y_1(x),\dots,y_n(x))$ an $n$ of general algebraic equations.
Keywords: Mellin transform
Mots-clés : algebraic equation. 
@article{JSFU_2012_5_3_a12,
     author = {Vladimir R. Kulikov},
     title = {The calculation of monomial functions for solving the general system of algebraic equations},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {409--416},
     publisher = {mathdoc},
     volume = {5},
     number = {3},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2012_5_3_a12/}
}
TY  - JOUR
AU  - Vladimir R. Kulikov
TI  - The calculation of monomial functions for solving the general system of algebraic equations
JO  - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
PY  - 2012
SP  - 409
EP  - 416
VL  - 5
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JSFU_2012_5_3_a12/
LA  - ru
ID  - JSFU_2012_5_3_a12
ER  - 
%0 Journal Article
%A Vladimir R. Kulikov
%T The calculation of monomial functions for solving the general system of algebraic equations
%J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
%D 2012
%P 409-416
%V 5
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JSFU_2012_5_3_a12/
%G ru
%F JSFU_2012_5_3_a12
Vladimir R. Kulikov. The calculation of monomial functions for solving the general system of algebraic equations. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 5 (2012) no. 3, pp. 409-416. http://geodesic.mathdoc.fr/item/JSFU_2012_5_3_a12/

[1] H. J. Mellin, “Resolution de l'equation algebraique generale a l'aide de la fonction”, S. C. R. Acad. Sc., 172 (1921), 658–661 | Zbl

[2] V. A. Stepanenko, “O reshenii sistemy $n$ algebraicheskikh uravnenii ot $n$ neizvestnykh s pomoschyu gipergeometricheskikh funktsii”, Vestnik KrasGU, 2003, no. 1, 35–48

[3] I. A. Antipova, “O monomialnoi funktsii vektor-resheniya obschei sistemy algebraicheskikh uravnenii”, Vestnik KrasGU, 2005, no. 1, 106–110

[4] I. S. Gradshtein, I. M. Ryzhik, Tablitsy integralov, summ, ryadov i proizvedenii, Fizmatgiz, M., 1963 | MR