Talk:Sextic equation
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[edit]The sentence "The general sextic equation can be solved in terms of Kampé de Fériet functions,[1] and a restricted class of sextics can be solved in terms of generalised hypergeometric functions in one variable using Klein's approach to solving the quintic equation.[1]" is exactly copied from the reference cited http://mathworld.wolfram.com/SexticEquation.html , that is not free. It should (at least) be rewritten.--Pere prlpz (talk) 09:03, 24 June 2010 (UTC)
Mathematics
[edit]What is hectic binomial 41.13.68.16 (talk) 17:45, 30 May 2022 (UTC)
- "Hectic" seems to be a misspelling of hexic. Binomial is defined in Binomial. So you will get the answer by reading the two blue links. D.Lazard (talk) 19:27, 30 May 2022 (UTC)
"The general sextic equation can be solved by the two-variable Kampé de Fériet function"
[edit]"The general sextic equation can be solved by the two-variable Kampé de Fériet function", and it sends me to this mathworld page [1]. And at there, they cites 3 sources. When I check every one of them, they all don't even contain a way to solve or atleast construct a Kampé de Fériet function solution to any sextic. I search across the internet about it, and found a lot of site talk about something like solving the general sextic equation in terms of Kampé de Fériet function is possible, but there's none of them actually containing a way to use Kampé de Fériet function to solve or construct a solution.
I know that those who can transform the general quintic into the Bring-Jerrard quintic $x^5+x+t$ by 2 appropriate Tschirnhaus transformation [2], might be able to transform the general sextic to the 2 variable $x^6+x^2+px+q$ by the similar transformation purely in radicals, but they just simply don't know how to go further with solving it using Kampé de Fériet function.
Is "The general sextic equation can be solved by the two-variable Kampé de Fériet function" a misinformation, or it is not discovered yet... just like the Wall-Sun-Sun prime [3]? ThinhDinh123 (talk) 14:16, 15 December 2024 (UTC)
- The sentence "The general sextic equation can be solved by the two-variable Kampé de Fériet function" is possibly true if interpreted as "if one know how to compute the Kampé de Fériet function, one can use it for solving the general sextic equation". However, no way is provided to verify the assertion. So, I removed the paragraph per WP:Verifiability. If you find a reliable source (Mathworld is not a reliable source), you may restore a new version the paragraph. D.Lazard (talk) 16:24, 15 December 2024 (UTC)