Journal of Siberian Federal University. Mathematics & Physics / Certain Formulas for Solutions to Trinomial and Tetranomial Algebraic Equations

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics: 2012, Vol. 5, Issue 2
Authors
Mikhalkin, Evgeny N.
Contact information
Mikhalkin, Evgeny N. : e-mail:
Keywords
algebraic equation; Gauss hypergeometric series; generalized hypergeometric series
Abstract

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.

Pages
230-238
Paper at repository of SibFU
http://elib.sfu-kras.ru/handle/2311/2761