令u=x+y,v=x-y,则x=(u+v)/2y=(u-v)/2故f(x+y,x-y)=f(u,v)=[(u+v)/2]^2+[(u-v)/2]^2+e^[(u+v)/2*(u-v)/2]=(u²+v²)/2+e^[(u²-v²)/4]故f(x,y)=(x²+y²)/2+e^[(x²-y²)/4]