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Like this

sage: q=polygen(QQ,'q')                                                         
sage: s=SymmetricFunctions(q.parent()).s()                                      
sage: f=q*s([4])+(q-1)*s([3,2])                                                 
sage: f.map_coefficients(lambda q:q+1)                                          
q*s[3, 2] + (q+1)*s[4]

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