Talk:Function of several complex variables: Difference between revisions

Revision as of 08:54, 17 November 2020

Revision as of 08:59, 17 November 2020

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Holomorphically convex hulls are necessary to understand the properties that occur when increasing complex variables from one to several.So I wanted to add this topic to this page, but when I tried to add it, I noticed that the contents of the two pages were covered. I think the reason I came to think of the Holomorphically convex hull property was about the convergence region when the conditions described on the Holomorphically convex hull page were applied to the analytic function (holomorphic function).(Affects analytic continuation.) The power series is written on this page, so I would like to add a clause called Holomorphically convex hull on this page to integrate it. I would to leave the Holomorphically convex hull page as a redirect as a provisional. ( i.e. I do not object to increasing the content of the page and recreating a Holomorphically convex hull page.). thanks.--[[User:SilverMatsu|SilverMatsu]] ([[User talk:SilverMatsu|talk]]) 07:55, 17 November 2020 (UTC)

:I completely changed my response here, sorry about that. This is fine with me, though I still believe it should all be merged into [[complex analysis]]. I have added templates that signify some of the problems I see with the article. In the eventuality that it is merged, many of them can be ignored. However, we do have to fix all the reference problems to make sure there is no original research. Thanks! [[User:Footlessmouse|Footlessmouse]] ([[User talk:Footlessmouse|talk]]) 08:59, 17 November 2020 (UTC)

:I continue to hold this page should not exist and may one day go through RfC or AfD to get consensus behind that. It does not truly meet notability requirements in its current form: The intro is incorrect. Complex analysis is not limited to a single variable, studies of functions of one or more complex variables falls squarely in the realm of complex analysis and no reliable source will say otherwise. Does anyone have a source that says complex analysis is of a different character than the theory of several complex variables? That is <s>an inexcusable instance of</s> original research. So is the entirety of the historical perspectives section. <s>Yes, the special case of single variables makes certain things easier, that does not mean they are different, and if they were different, why wouldn't it be functions of single complex variables that gets its own page? It is certainly way more notable.</s> All of the [[complex analysis]] article, outside the lead and intro, should be about multiple variables with a section on the ''special case'' of functions of a single complex variable, given Wikipedia is not a textbook but an encyclopedia. That being said, absorbing Holomorphically convex hull would not change anything, as that page is a stub, I have no problems with it. [[User:Footlessmouse|Footlessmouse]] ([[User talk:Footlessmouse|talk]]) 08:25, 17 November 2020 (UTC)

::Note, I struck some content out to tone down my response. Also, I realize that you did not object to my merge request, but I found it odd no one else joined in. [[User:Footlessmouse|Footlessmouse]] ([[User talk:Footlessmouse|talk]]) 08:54, 17 November 2020 (UTC)