analytic function

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Related to Real analytic function: analytic extension

analytic function

[‚an·əl′id·ik ′fuŋk·shən]
(mathematics)
A function which can be represented by a convergent Taylor series. Also known as holomorphic function.
References in periodicals archive ?
We then show that a suitable variant of the above theorem also holds for real analytic functions on open intervals (see Theorem 5.
k] of exponentially decreasing real analytic functions, where
per] (R) of 2[pi]-periodic real analytic functions can be identified with a linear subspace of A(I) where [empty set] = I [subset] R is a compact or open interval.
1 leads to a decomposition of real analytic functions defined on open intervals into functions which are exponentially decreasing in one direction.
We will show in this section that the continuous linear decomposition of real analytic functions from Theorem 5.
Vogt, Frechet valued real analytic functions, Bull.