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Analytic continuation — Wikipedia (en)

Source: Wikipedia (en)
Original: https://en.wikipedia.org/wiki/Analytic_continuation
License (as archived): CC-BY-SA-4.0
Archived: 2026-11-09T00:52:11.618Z
SHA-256 of the archived text: 7bb08cb6a5f5ffb68fad4154c0f539e8cc67167f50f7b3dfd6a8853c81551acc
Stable URL of this page: https://metraipolis.com/documento/dc_19bbcb7ef852

How to cite

Analytic continuation — Wikipedia (en) — Wikipedia (en), https://en.wikipedia.org/wiki/Analytic_continuation (CC-BY-SA-4.0); archived copy: https://metraipolis.com/documento/dc_19bbcb7ef852 (Metraipolis archive dc_19bbcb7ef852, sha256 7bb08cb6a5f5ffb68fad4154c0f539e8cc67167f50f7b3dfd6a8853c81551acc)

BibTeX

@misc{dc19bbcb7ef852,
  title = {Analytic continuation — Wikipedia (en)},
  howpublished = {Wikipedia (en)},
  url = {https://en.wikipedia.org/wiki/Analytic_continuation},
  note = {License CC-BY-SA-4.0; archived copy https://metraipolis.com/documento/dc_19bbcb7ef852; sha256 7bb08cb6a5f5ffb68fad4154c0f539e8cc67167f50f7b3dfd6a8853c81551acc},
  year = {2026}
}

Archived text

Reproduced under CC-BY-SA-4.0. Attribution: Wikipedia (en), https://en.wikipedia.org/wiki/Analytic_continuation. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

In complex analysis, a branch of mathematics, analytic continuation is a technique to extend the domain of definition of a given analytic function. Analytic continuation often succeeds in defining further values of a function, for example in a new region where the infinite series representation that initially defined the function becomes divergent. The step-wise continuation technique may, however, come up against difficulties. These may have an essentially topological nature, leading to inconsistencies (defining more than one value). They may alternatively have to do with the presence of singularities. The case of several complex variables is rather different, since singularities then need not be isolated points, and its investigation was a major reason for the development of sheaf cohomology.

Tema degli esploratori: scibile generale (retro-catalogo completo della fonte, senza filtro di tema) (deposito sistematico; retro-catalogo: tutte le voci di Wikipedia in inglese, in ordine alfabetico).
Fonte: Wikipedia in inglese, voce «Analytic continuation» — https://en.wikipedia.org/wiki/Analytic_continuation
Wikidata Q485287: «in complex analysis, an extension of the domain of an analytic function» (dati Wikidata in CC0 1.0) — https://www.wikidata.org/wiki/Q485287
Autori: i contributori di Wikipedia (cronologia: https://en.wikipedia.org/wiki/Analytic_continuation?action=history).
Licenza: Creative Commons Attribuzione-Condividi allo stesso modo 4.0 (CC BY-SA 4.0) — https://creativecommons.org/licenses/by-sa/4.0/. Il riuso richiede attribuzione e stessa licenza.
Estratto dell'introduzione non modificato nel contenuto; revisione 1381461639, consultata il 2026-11-09T00:48:43.976Z tramite l'API ufficiale di Wikipedia. Impronta SHA-256 dell'estratto: a9e27aa8f7f3bcb0c0c7dd5b636d566e84fd06f251b30aea8e83f7fa8c7383a4