Let Vn be the simplex: t1+t2+⋯+tn≤1, tk≥0. Then for ℜzk>0, k=1,2,…,n+1,
Let
Then
provided that ℜa, ℜb>0, ℜc>-min(1/n,ℜa/(n-1),ℜb/(n-1)).
Secondly,
when ℜa>0, ℜc>-min(1/n,ℜa/(n-1)).
Thirdly,