Analytic function: Difference between revisions

Revision as of 16:15, 17 July 2005

Revision as of 16:16, 17 July 2005

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* The sum, product, and composition of analytic functions are analytic.

* The [[reciprocal]] of a nowhere-zero analytic function is analytic, and the inverse of an invertible analytic function with nonnowhere-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]].