analytic function

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Related to Analytic mapping: Analytic function

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 ?
Then, every analytic mapping or [Mathematical Expression Omitted] such that [Mathematical Expression Omitted] for all i = 1,..., m can be approximated by Nash mappings [tau] : [omega] [right arrow] [omega]' such that [Mathematical Expression Omitted] for all i = 1,..., m.
Then, every analytic mapping [sigma] : [omega] [right arrow] [omega]] such that
Thus, this particular case of Proposition 2.1 can be reformulated by saying that every analytic mapping from a compact Nash set into a Nash set can be approximated by Nash mappings.