Geodesic
Certain formulas for solutions to trinomial and tetranomial algebraic equations
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 5 (2012) no. 2, pp. 230-238

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

Algebraic equations with one and two parameters are considered. We prove that solutions to such equations can be represented as linear combination of generalized hypergeometric series. This result allows to express (nonlinearly) solutions to cubic and quartic equations by Gauss hypergeometric series.
Mots-clés : algebraic equation
Keywords: Gauss hypergeometric series, generalized hypergeometric series. 
@article{JSFU_2012_5_2_a8,
     author = {Evgeny N. Mikhalkin},
     title = {Certain formulas for solutions to trinomial and tetranomial algebraic equations},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {230--238},
     publisher = {mathdoc},
     volume = {5},
     number = {2},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2012_5_2_a8/}
}
TY  - JOUR
AU  - Evgeny N. Mikhalkin
TI  - Certain formulas for solutions to trinomial and tetranomial algebraic equations
JO  - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
PY  - 2012
SP  - 230
EP  - 238
VL  - 5
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JSFU_2012_5_2_a8/
LA  - ru
ID  - JSFU_2012_5_2_a8
ER  - 
%0 Journal Article
%A Evgeny N. Mikhalkin
%T Certain formulas for solutions to trinomial and tetranomial algebraic equations
%J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
%D 2012
%P 230-238
%V 5
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JSFU_2012_5_2_a8/
%G ru
%F JSFU_2012_5_2_a8
Evgeny N. Mikhalkin. Certain formulas for solutions to trinomial and tetranomial algebraic equations. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 5 (2012) no. 2, pp. 230-238. http://geodesic.mathdoc.fr/item/JSFU_2012_5_2_a8/