I understood Power sum symmetric polynomial and Fundamental theorem of symmetric polynomials
Here the symmetric function would be of the form F(x1,x2,x3,….) and thus using those theorems we can decompose into power sum symmetric polynomial or Elementary symmetric polynomials
But now here i have symmetric function of F( (x1,y1,z1) ,(x2,y2,z2),(x3,y3,z3),….)
F is symmetric here it means tuples can interchanged but not xi,yi,zi to zi,xi,yi
How can i apply the above theorems for functions of above type?