FUNCTION: ToeA - develop any symmetric function on the e-basis

CALLING SEQUENCE:

ToeA(sfa)

ToeA(sfa, alist)

SFA[ToeA](sfa)

SFA[ToeA](sfa, alist)

PARAMETERS:

sfa = any valid expression in SFA

alist = a list of alphabets

SYNOPSIS:

• The ToeA function analyses sfa and develops any symmetric function in SFA on the linear basis of product of elementary symmetric functions.

• One can develop only symmetric functions of which alphabets are given in the optional argument.

• Whenever there is a conflict between the function name ToeA and another name used in the same session, use the long form SFA['ToeA'].

EXAMPLES:

> with(SFA):
> ToeA( s[3,1](2*A1) );
 
         e[2, 1, 1](2 A1) - e[2, 2](2 A1) - e[3, 1](2 A1) + e[4](2 A1)
 
> ToeA( s[3,1](2*A1)*m[2,1](A2^2), [ A2^2, A3 ] );
 
                                     2                           2
             s[3, 1](2 A1) e[2, 1](A2 ) - 3 s[3, 1](2 A1) e[3](A2 )
 
> ToeA( s[2]( p[4,3](2*A1) ) + q*m[2,1](A2^2),  [ p[4,3](2*A1) ] );
 
                                                                    2
         e[1, 1](p[4, 3](2 A1)) - e[2](p[4, 3](2 A1)) + q m[2, 1](A2 )