五次方程部分方法错误

[oovm]

超几何函数解错误

级数法解错误

[oovm]

https://github.com/GalAster/Geis/blob/f0e0a4d2e8b510575fff635e4bb367ceeaf466d7/Packages/__Raw/Tschirnhaus.wl#L210-L219

效果非常糟糕

HypergeometricSolve[5, 2] /. t -> 2 // N

[oovm]

可能有帮助的公式

RootHypergeometric[n_Integer,m_,t_]:=Sum[
	(-(1/((n-1)*k!)))*t^k*E^((2*Pi*I*(k-1)*m)/(n-1))*
		Pochhammer[(k-1)/(n-1)+1,k-1]*HypergeometricPFQ[Range[n-1]/n+(k-1)/(n-1),
		Delete[Range[k+1,k+n-1],-k+n-1]/(n-1),n*((n*t)/(n-1))^(n-1)],{k,0,n-2}
];
Root[#1^5-#1+1&,2]//N
N@RootHypergeometric[5,1,1]//Chop

但是有根错位的问题