Timeline for Find the general solution to the Forsyth/Abel functional equation
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Feb 15, 2018 at 20:15 | comment | added | Alexandre Eremenko | @mark: First theorem in your paper is incorrect: not all periodic meromorphic functions satisfy algebraic addition theorems. An example is $\exp(e^z)$. | |
| Feb 14, 2018 at 4:16 | comment | added | mark | My arXiv paper arXiv:1212.6471v3 contains a detailed presentation of the history and proofs of Weierstrass' theorem and analytic functions of one and several variables which admit an algebraic addition theorem...however I will have to update the section on Forsyth's attempt. | |
| Feb 14, 2018 at 0:54 | comment | added | mark | Weierstrass' proof does not apply to the function $e^(e^u)$ which is meromorphic and periodic but Forsyth's "proof" does...too bad it is invalid... | |
| Feb 14, 2018 at 0:52 | comment | added | mark | Weierstrass' proof, as presented by Phragmen and (later) Osgood, is very beautiful...but Forsyth's attempt is interesting, although apparently wrong...I thought it was worth resurrecting because of its novelty...but novelty, when wrong, is not enough.... | |
| Feb 13, 2018 at 21:33 | history | answered | Alexandre Eremenko | CC BY-SA 3.0 |