دالة تحليلية
الدالة التحليلية وهي دالة رياضية وينطق عنها اقتران تحليلي أيضا، فمثلا ينطق : عن الدالة د(س) أنها دالة تحليلية في النقطة س ، إذا أمكن تمثيل د(س) بمتسلسلة تيلور لقوى (س-س).
تعريفات
Formally, a function f is real analytic on an open set D in the real line if for any x0 in D one can write
in which the coefficients a0, a1, ... are real numbers and the series is convergent for x in a neighborhood of x0.
Alternatively, an analytic function is an infinitely differentiable function such that the Taylor series at any point x0 in its domain
converges to f(x) for x in a neighborhood of x0.
The definition of a complex analytic function is obtained by replacing, in the definitions above, "real" with "complex" and "real line" with "complex plane."
