On a General Sextic Equation Solved by the Rogers Ramanujan Continued Fraction
General Mathematics
2012-09-18 v2
Abstract
In this article we solve a general class of sextic equations. The solution follows if we consider the -invariant and relate it with the polynomial equation's coefficients. The form of the solution is a relation of Rogers-Ramanujan continued fraction. The inverse technique can also be used for the evaluation of the Rogers-Ramanujan continued fraction, in which the equation is not now the depressed equation but another quite more simplified equation.
Keywords
Cite
@article{arxiv.1111.6023,
title = {On a General Sextic Equation Solved by the Rogers Ramanujan Continued Fraction},
author = {Nikos Bagis},
journal= {arXiv preprint arXiv:1111.6023},
year = {2012}
}
Comments
23 pages, Rogers Ramanujan Continued Fraction, Sextic Equation