FUNCTION: TopA - develop any symmetric function on the p-basis

CALLING SEQUENCE:

TopA(sfa)

TopA(sfa, alist)

SFA[TopA](sfa)

SFA[TopA](sfa, alist)

PARAMETERS:

sfa = any valid expression in SFA

alist = a list of alphabets

SYNOPSIS:

• The TopA function analyses sfa and develops any symmetric function in SFA on the linear basis of product of power sums 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 TopA and another name used in the same session, use the long form SFA['TopA'].

EXAMPLES:

> with(SFA):
> TopA( s[3](2*A1) );
 
           1/3 p[3](2 A1) + 1/2 p[2, 1](2 A1) + 1/6 p[1, 1, 1](2 A1)
 
> TopA( s[3,1](2*A1)*m[2,1](A2^2), [ A2^2, A3 ] );
 
                                      2                         2
              s[3, 1](2 A1) p[2, 1](A2 ) - s[3, 1](2 A1) p[3](A2 )
 
> TopA( s[2]( p[4,3](2*A1) ) + q*m[2,1](A2^2),  [ p[4,3](2*A1) ] );
 
                                                                        2
     1/2 p[2](p[4, 3](2 A1)) + 1/2 p[1, 1](p[4, 3](2 A1)) + q m[2, 1](A2 )