Analytic continuation: Revision history

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curprev 14:2514:25, 25 July 2024‎ Billlion talk contribs‎ 20,594 bytes −13,155‎ Deleted section with theorem supported only by unpublished notes undo
curprev 14:1814:18, 25 July 2024‎ Billlion talk contribs‎ m 33,749 bytes +5‎ →‎Example I: The connection of the Riemann zeta function to the Bernoulli numbers: next -> following undo

curprev 10:4010:40, 13 July 2024‎ 2a01:4b00:a901:3600:64d4:49c0:6730:f468 talk‎ 33,744 bytes 0‎ →‎Worked example: fixed another minor algebra error undo
curprev 10:1310:13, 13 July 2024‎ 2a01:4b00:a901:3600:64d4:49c0:6730:f468 talk‎ 33,744 bytes +7‎ →‎Worked example: fixed minor algebra error undo

curprev 15:4915:49, 26 February 2024‎ Mgnbar talk contribs‎ 33,737 bytes 0‎ Undid revision 1210403892 by Kroros (talk); rv 1 good-faith edit; "extend" is more common in this situation than "expand" undo Tag: Undo
curprev 12:5912:59, 26 February 2024‎ Kroros talk contribs‎ m 33,737 bytes 0‎ No edit summary undo Tags: Reverted Visual edit

curprev 15:3115:31, 16 February 2024‎ D.Lazard talk contribs‎ 33,737 bytes +267‎ →‎Applications undo
curprev 14:4414:44, 16 February 2024‎ Perey talk contribs‎ 33,470 bytes −3‎ →‎Applications: Removed stray character that broke heading. undo Tags: Mobile edit Mobile web edit Advanced mobile edit
curprev 14:1814:18, 16 February 2024‎ D.Lazard talk contribs‎ 33,473 bytes +127‎ →‎Worked example: clarification asked for on the talk page undo
curprev 13:4713:47, 16 February 2024‎ D.Lazard talk contribs‎ 33,346 bytes +316‎ →‎Worked example: adding a fundamental remark undo

curprev 12:1912:19, 8 November 2023‎ Kku talk contribs‎ m 33,030 bytes +4‎ link [cC]omplex number undo

curprev 09:3509:35, 7 November 2023‎ Kku talk contribs‎ m 33,026 bytes +4‎ link [TT]aylor series undo

curprev 09:5709:57, 10 September 2023‎ 75.237.93.184 talk‎ 33,022 bytes 0‎ →‎Worked example undo

curprev 03:3903:39, 15 August 2023‎ 36.72.194.214 talk‎ 33,022 bytes +5‎ Minor changes: analytic continuation of the zeta function undo

curprev 22:2322:23, 18 June 2023‎ Athena.Jennings talk contribs‎ 33,017 bytes +173‎ →‎Worked example: Corrected the worked example and adjusted the relevant exposition thereof. Since we are expanding the same function f using infinite series about two different points, we should obtain the same result from either representation where the domain of convergence of the two infinite series representations overlap. The math does work out to provide this: it was simply stated incorrectly by making the elementary error of expecting the result of summing the infinite series center... undo Tags: Mobile edit Mobile web edit

curprev 21:0621:06, 6 May 2023‎ OchenCunningBaldrick talk contribs‎ 32,844 bytes −4‎ Changed the wording to make the second sentence clearer undo Tags: Mobile edit Mobile web edit

curprev 22:3422:34, 24 March 2023‎ Darcourse talk contribs‎ 32,848 bytes +15‎ →‎Worked example: simplified undo

curprev 03:1203:12, 24 October 2022‎ Citation bot talk contribs‎ 32,833 bytes +29‎ Add: bibcode. | Use this bot. Report bugs. | Suggested by Whoop whoop pull up | #UCB_webform 3405/3485 undo

curprev 23:3623:36, 16 August 2022‎ Joao Paulo Bessa Brito talk contribs‎ 32,804 bytes +527‎ Addition of the last paragraph in the Applicaions section undo Tag: Visual edit

curprev 18:0018:00, 3 May 2022‎ Dabed talk contribs‎ 32,277 bytes +37‎ →‎See also: +Numerical analytic continuation undo Tag: Visual edit

curprev 14:5514:55, 2 May 2022‎ Darcourse talk contribs‎ 32,240 bytes −44‎ out of date undo

curprev 15:0915:09, 28 April 2022‎ Darcourse talk contribs‎ 32,284 bytes +55‎ →‎Worked example: the integral is a constant w.r.t. theta undo
curprev 15:0115:01, 28 April 2022‎ Darcourse talk contribs‎ m 32,229 bytes +2‎ →‎Worked example: correction undo
curprev 14:5814:58, 28 April 2022‎ Darcourse talk contribs‎ 32,227 bytes +90‎ →‎Worked example: integral is zero unless m=k. undo

curprev 16:1916:19, 16 December 2021‎ Llsalcedo talk contribs‎ 32,137 bytes −84‎ No edit summary undo

curprev 13:2413:24, 26 November 2021‎ Rlink2 talk contribs‎ m 32,221 bytes +3‎ →‎External links: archive link repair, may include: archive.* -> archive.today, and http->https for ghostarchive.org and archive.org (wp:el#Specifying_protocols) undo Tag: AWB

curprev 10:5410:54, 22 July 2021‎ Comp.arch talk contribs‎ m 32,218 bytes −4‎ hyphens undo Tag: 2017 wikitext editor

curprev 16:1716:17, 14 May 2021‎ Ardent Vim talk contribs‎ 32,222 bytes +21‎ add another link undo Tag: Visual edit

curprev 16:1316:13, 10 May 2021‎ Silvermatsu talk contribs‎ 32,201 bytes +38‎ →‎top: Because changed the article name and changing to Dab undo

curprev 16:3116:31, 17 April 2021‎ Hellacioussatyr talk contribs‎ 32,163 bytes +25‎ →‎Initial discussion undo Tags: Mobile edit Mobile web edit Advanced mobile edit

curprev 14:0814:08, 6 January 2021‎ Tom.Reding talk contribs‎ m 32,138 bytes +35‎ Enum 1 author/editor WL; WP:GenFixes on undo Tag: AWB

curprev 16:2816:28, 24 December 2020‎ LMSchmitt talk contribs‎ 32,103 bytes +14‎ "domain" of a function is often better called "domain of definition". That's more precise and more common.~~~~ undo

curprev 03:3603:36, 10 December 2020‎ David notMD talk contribs‎ 32,089 bytes −32‎ No edit summary undo Tag: Manual revert
curprev 00:5500:55, 10 December 2020‎ Nononsense101 talk contribs‎ 32,121 bytes +32‎ No edit summary undo Tag: Reverted

curprev 06:5606:56, 23 September 2020‎ LMSchmitt talk contribs‎ 32,089 bytes −142‎ →‎Example I: A function with a natural boundary at zero (the prime zeta function): WAS PLAIN FALSE. The formula previously stated in this text meant that the sequence 1/k can approach any x in (o,1) arbitrarily close. Except its own members, 1/k can only approach 0 arbitrarily close which is the limit 1/k as k->oo. 1/k is 1, 1/2, 1/3, 1/4.... which is monotone falling, and e.g., x=3/4 can at best be approached by 1 and 1/2 at distance 1/4. What was written was thus false for eps=1/5. undo

curprev 21:2421:24, 14 July 2020‎ Salix alba talk contribs‎ m 32,231 bytes +84‎ Fix deprecated maths syntax errors, see https://www.mediawiki.org/wiki/Extension:Math/Roadmap, replaced: \C → \Complex (14) undo Tag: AWB

curprev 15:3015:30, 24 June 2020‎ 179.190.197.221 talk‎ 32,147 bytes +1‎ →‎Worked example undo

curprev 09:5509:55, 21 April 2020‎ D.Lazard talk contribs‎ 32,146 bytes +84‎ Adding local short description: "Extension of the domain of an analytic function (mathematics)", overriding Wikidata description "technique to extend the domain of a given analytic function" (Shortdesc helper) undo

curprev 00:2900:29, 16 February 2020‎ User0x539 talk contribs‎ m 32,062 bytes +1‎ →‎Example II: A typical lacunary series (natural boundary as subsets of the unit circle) undo
curprev 00:2400:24, 16 February 2020‎ User0x539 talk contribs‎ m 32,061 bytes −1‎ →‎Example I: A function with a natural boundary at zero (the prime zeta function) undo

curprev 14:0314:03, 7 January 2020‎ AnOddName talk contribs‎ 32,062 bytes −1‎ →‎Example I: The connection of the Riemmann zeta function to the Bernoulli numbers: Riemmann→Riemann undo

curprev 12:5912:59, 13 November 2019‎ Swooboo talk contribs‎ 32,063 bytes −1‎ →‎Natural boundary: Typo Riemmann --> Riemann undo

curprev 13:1113:11, 3 October 2019‎ GünniX talk contribs‎ m 32,064 bytes −60‎ Reflist undo Tag: AWB

curprev 15:1415:14, 30 September 2019‎ Narky Blert talk contribs‎ 32,124 bytes +40‎ 2x links to DAB pages repaired undo

curprev 21:4821:48, 26 September 2019‎ Latex-yow talk contribs‎ m 32,084 bytes −76‎ →‎The topology of the set of germs undo

curprev 14:5114:51, 25 September 2019‎ Latex-yow talk contribs‎ m 32,160 bytes −46‎ →‎Initial discussion undo
curprev 14:4714:47, 25 September 2019‎ 2607:fea8:bda0:2003:6cc3:c399:c4b1:5ede talk‎ 32,206 bytes +11‎ →‎Monodromy theorem undo
curprev 06:2306:23, 25 September 2019‎ Latex-yow talk contribs‎ m 32,195 bytes −10‎ →‎Natural boundary undo

curprev 11:3011:30, 24 September 2019‎ Arjayay talk contribs‎ m 32,205 bytes −4‎ Duplicate word removed undo
curprev 08:2708:27, 24 September 2019‎ Latex-yow talk contribs‎ m 32,209 bytes −202‎ →‎A useful theorem: A sufficient condition for analytic continuation to the non-positive integers undo

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