syms?x?a;
m=5;%自己改
y=(11/6-3*x+3/2*x^2-1/3*x^3)^a
f=taylor(y,m+1,x);
w=sym(zeros(m+1,1));
w(1)=subs(f,x,0);
f=f-w(1);
for?n=m:-1:2
w(n+1)=subs(f-subs(f,x^n,0),x^n,1);
f=f-w(n+1)*x^n;
end
w(2)=subs(f,x,1)
註意,因為matlab數組下標從1開始,因此我這裏w(1)是常數項,w(2)是壹次項,以此類推,即
y=w(1)+w(2)*x+w(3)*x^2+....+w(m+1)*x^m