An analytic continuation is an extension of an analytic function which is itself analytic, or the practice of extending analytic functions.

An analytic continuation is an extension of an analytic function which is itself analytic, or the practice of extending analytic functions.

An analytic function is a real valued function which is uniquely defined through its derivatives at one point.

practical application of analytic functions on chemical engineering

Yes. If the Maclaurin expansion of a function locally converges to the function, then you know the function is smooth. In addition, if the residual of the Maclaurin expansion converges to 0, the function is analytic.