Conformal Transformations of Period N and Groups Generated by Them |
Other editions - View all
Common terms and phrases
A+1+(polynomial in lower A₁ c₁ class defined conformal symmetries corresponding and lower corresponding expressions corresponding u's determinant for consideration direct periodic conformal elimination expression in u's factored into transformations ffo(z form Akn+1 functional equation Furthermore ƒ and g given transformation HARRY LANGMAN irreducible period K₁ K₂ Kn+1 left member member of 95 method of Section necessary condition observe order kn order t/2 periodic function periodic reverse conformal periodic transformations polynomial in lower polynomial in X's power series primitive root rational integral functions resulting from 93 reverse conformal transformation root of unity satisfied Similarly solution Suppose taken arbitrarily takes the form terms of X's THEOREM transformation f(z transformations of order transformations of period uniquely vanish identically variables write X-polynomials X's and u's X's of corresponding X's of lower X's of order y₁ yield ειμε ελι εξ Κι λ₁ λε Σ α