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Substitution of the old variable to a generating function

Assume that we have one of the 4 types of generating functions (say F(p, Q)) which defines a symplectomorphism $T$: $(P,Q) = (u(p,q), v(p,q))$. Now we can make a substitution and get a function $G(p,q)...
Dmitri Scheglov's user avatar