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, Continuity Principle, Elementary Function

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References

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

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Permanence of Algebraic Form

Cite this as:

Weisstein, Eric W. "Permanence of Algebraic Form." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PermanenceofAlgebraicForm.html

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