Timeline for Origin of the Liouville theorem for harmonic functions
Current License: CC BY-SA 4.0
7 events
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Jan 10, 2021 at 20:04 | vote | accept | CommunityBot | ||
Jan 10, 2021 at 19:29 | comment | added | Carlo Beenakker | the holomorphic result was first announced by Cauchy, in 1844, in response to Liouville's announcement of his doubly periodic result, see this book | |
Jan 10, 2021 at 15:31 | comment | added | user140746 | Ok, thanks! What about the more general result on holomorphic functions? Is it in another paper by Liouville? | |
Jan 10, 2021 at 15:20 | comment | added | Carlo Beenakker | @Zyl --- here it is explained that the doubly periodic function is bounded, so it is a special case of a bounded holomorphic function. | |
Jan 10, 2021 at 15:16 | comment | added | user140746 | Thank you! What is the relationship between doubly periodic and holomorphic functions (for which the complex Liouville theorem is usually stated)? | |
Jan 10, 2021 at 13:13 | history | edited | Carlo Beenakker | CC BY-SA 4.0 |
added 492 characters in body
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Jan 10, 2021 at 12:52 | history | answered | Carlo Beenakker | CC BY-SA 4.0 |