mathematics, analytic continuation is a technique to extend the domain of definition of a given analytic function. Analytic continuation often succeeds...
33 KB (6,793 words) - 15:49, 26 February 2024
In many-body physics, the problem of analytic continuation is that of numerically extracting the spectral density of a Green function given its values...
8 KB (1,030 words) - 20:59, 14 April 2024
Monodromy theorem (redirect from Analytic continuation along a curve)
important result about analytic continuation of a complex-analytic function to a larger set. The idea is that one can extend a complex-analytic function (from...
8 KB (1,331 words) - 14:39, 17 November 2023
Divergent series (section Analytic continuation)
arithmetic mean of the sequence of partial sums. Other methods involve analytic continuations of related series. In physics, there are a wide variety of summability...
32 KB (4,997 words) - 08:36, 21 April 2024
zeta function is that it can be defined for other values of s by analytic continuation. One can then define the zeta-regularized sum of 1 + 2 + 3 + 4 +...
33 KB (4,231 words) - 23:34, 16 February 2024
bounded analytic function can become Analytic continuation, a technique to extend the domain of definition of a given analytic function Analytic manifold...
5 KB (583 words) - 14:39, 20 March 2023
In physics, a wave packet (also known as a wave train or wave group) is a short burst of localized wave action that travels as a unit, outlined by an envelope...
35 KB (5,351 words) - 14:34, 28 May 2024
Gamma function (section Analytic number theory)
\qquad \Re (z)>0\,.} The gamma function then is defined as the analytic continuation of this integral function to a meromorphic function that is holomorphic...
90 KB (13,429 words) - 10:27, 29 May 2024
{\displaystyle f(0)=1,} and monotonicity in both argument and modulus. An analytic continuation of Davis' continuous form of the Spiral of Theodorus extends in...
9 KB (1,152 words) - 00:48, 14 March 2024
product expansion, it satisfies a functional equation, it has an analytic continuation to a meromorphic function on the complex plane C with only a simple...
11 KB (1,593 words) - 21:16, 26 May 2024