Timeline for Is there a specific named function that is the inverse of $x+x^a$ for $x$ real?
Current License: CC BY-SA 4.0
16 events
| when toggle format | what | by | license | comment | |
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| Jun 21, 2023 at 21:22 | answer | added | Luke | timeline score: 5 | |
| Nov 10, 2021 at 14:20 | vote | accept | J.Ham | ||
| Nov 6, 2021 at 8:15 | history | edited | YCor |
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| Nov 5, 2021 at 6:13 | comment | added | Dirk | It's so known as proximal map of the function $x^{a+1}/(a+1)$. | |
| Nov 4, 2021 at 22:51 | answer | added | Jorge Zuniga | timeline score: 18 | |
| Nov 4, 2021 at 21:47 | comment | added | მამუკა ჯიბლაძე | Does this answer your question? Series solution of the trinomial equation | |
| Nov 4, 2021 at 21:43 | comment | added | Pietro Majer | Here it is: mathoverflow.net/questions/249060/… | |
| Nov 4, 2021 at 21:21 | answer | added | Iosif Pinelis | timeline score: 4 | |
| Nov 4, 2021 at 21:18 | comment | added | მამუკა ჯიბლაძე | If by approximation you mean numerical approximation, you might try iterating $f(x)=y-x^a$. I believe generically the sequence $f(0),f(f(0)),f(f(f(0))),...$ converges to a solution for $a$ in $(0,1)$. | |
| S Nov 4, 2021 at 20:36 | history | suggested | Dirk Werner | CC BY-SA 4.0 |
TeXing (math mode) and language
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| Nov 4, 2021 at 19:29 | comment | added | Wojowu | I'm assuming you are trying to solve for $x$ in terms of $a,y$. For $a=5$ you are looking at Bring radical, which has no closed form in terms of radicals. For general $a$, especially noninteger ones, I doubt there is a sensible solution, though one might exist in terms of hypergeometric functions. | |
| Nov 4, 2021 at 19:21 | review | Suggested edits | |||
| S Nov 4, 2021 at 20:36 | |||||
| Nov 4, 2021 at 18:59 | history | edited | Daniele Tampieri | CC BY-SA 4.0 |
Math Jaxed
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| Nov 4, 2021 at 18:41 | review | Close votes | |||
| Nov 7, 2021 at 22:13 | |||||
| S Nov 4, 2021 at 18:16 | review | First questions | |||
| Nov 4, 2021 at 19:21 | |||||
| S Nov 4, 2021 at 18:16 | history | asked | J.Ham | CC BY-SA 4.0 |