Timeline for Is it possible that in certain rings the power series representing special functions are expressable via series representing elementary functions?
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Jan 5, 2021 at 20:14 | comment | added | Anixx | @Somos I am asking, whether the functions that are not elementary on reals (can not be expressed via trigonometric, inverse trigonometric, logarithms, exponentials and arithmetic operations in closed form) can be elementary on another ring (that is can be expressed via those functions). | |
| Jan 5, 2021 at 20:07 | comment | added | Somos | How exactly do you define "elementary" or "special" functions over a general ring? What about "finite combinations"? | |
| Jan 4, 2021 at 21:17 | history | edited | Anixx | CC BY-SA 4.0 |
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| Jan 4, 2021 at 21:16 | comment | added | Anixx | @dodd do you mean something like boolean algebra or p-adics? This would be a good answer, but what if we add a condition that the ring should include real numbers? Or, at least, integers? | |
| Jan 4, 2021 at 21:13 | comment | added | markvs | Take the ring consisting two elements $0,1$. | |
| Jan 4, 2021 at 20:58 | history | asked | Anixx | CC BY-SA 4.0 |