Analytic function: Difference between revisions

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Analytic signals are not necessary analytic functions. So I removed that one from here. Hey, Omegatron is using edit summary! That's why I don't revert without comment. :)
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* The sum, product, and composition of analytic functions are analytic.
* The [[reciprocal]] of a nonnowhere-zero analytic function is analytic, and the inverse of an invertible analytic function with non-zero [[derivative]] is analytic.
* Any polynomial is an analytic function. For a polynomial, the power series expansion contains only a finite number of non-zero terms.
* Any analytic function is [[smooth function|smooth]].