The general sextic polynomial equation

can be solved in terms of Hypergeometric Functions in one variable using Klein's approach to solving the Quintic Equation.

**References**

Coble, A. B. ``The Reduction of the Sextic Equation to the Valentiner Form--Problem.'' *Math. Ann.* **70**, 337-350, 1911a.

Coble, A. B. ``An Application of Moore's Cross-ratio Group to the Solution of the Sextic Equation.'' *Trans. Amer. Math. Soc.* **12**,
311-325, 1911b.

Cole, F. N. ``A Contribution to the Theory of the General Equation of the Sixth Degree.'' *Amer. J. Math.* **8**, 265-286, 1886.

© 1996-9

1999-05-26