On the complete solution of the general quintic using Rogers-Ramanujan continued fraction

Abstract

In this article we give solution of the general quintic equation by means of the Rogers-Ramanujan continued fraction. More precisely we express a root of the quintic as a known algebraic function of the Rogers-Ramanujan continued fraction.

Quintic Equation, Rogers-Ramanujan Continued Fraction

References in corpus (5)

• The complete evaluation of Rogers Ramanujan and other continued fractions with elliptic functions
• Integrals related with Rogers Ramanujan continued fraction and q-products
• On the Evaluation of the Fifth Degree Elliptic Singular Moduli
• Jacobian Elliptic Functions, Continued Fractions and Ramanujan Quantities
• The First Derivative of Ramanujans Cubic Continued Fraction