FUNCTION: TomA - develop any symmetric function on the m-basis

CALLING SEQUENCE:

TomA(sfa)

TomA(sfa, alist)

SFA[TomA](sfa)

SFA[TomA](sfa, alist)

PARAMETERS:

sfa = any valid expression in SFA

alist = a list of alphabets

SYNOPSIS:

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

EXAMPLES:

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