A Note on DeMoivre's Quintic Equation

math-ph

/ Authors

/ Abstract

The quintic equation with real coefficients $$x^5+5ax^3+5a^2x+b=0$$ is solved in terms of radicals and the results used to sum a hypergeometric series for several arguments.

A Note on DeMoivre's Quintic Equation

math-ph

/ Authors

M. L. Glasser

/ Abstract

The quintic equation with real coefficients $$x^5+5ax^3+5a^2x+b=0$$ is solved in terms of radicals and the results used to sum a hypergeometric series for several arguments.