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Permanence of Algebraic Form

All Elementary Functions can be extended to the Complex Plane. Such definitions agree with the Real definitions on the x-Axis and constitute an Analytic Continuation.

See also Analytic Continuation, Elementary Function, Permanence of Mathematical Relations Principle


Arfken, G. Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, p. 380, 1985.

© 1996-9 Eric W. Weisstein