Usually means: Differentiable everywhere in its domain.
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We found 5 dictionaries that define the word analytic function:

General (2 matching dictionaries)
  1. analytic function: Wiktionary
  2. Analytic function: Wikipedia, the Free Encyclopedia

Computing (1 matching dictionary)
  1. analytic function: Encyclopedia

Science (2 matching dictionaries)
  1. Analytic Function: Eric Weisstein's World of Mathematics
  2. analytic function: PlanetMath Encyclopedia

Definitions from Wiktionary (analytic function)

noun:  (mathematical analysis) Any smooth (infinitely differentiable) function f, defined on an open set D⊆ℂ( textit or⊆ℝ), whose value in some neighbourhood of any given point x_0∈D is given by the Taylor series ∑ₙ₌₀ ᪲(f⁽ⁿ⁾(x_0))/(n!)(x-x_0)ⁿ.
noun:  (databases) window function

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