Timeline for On Integrals of the Airy function
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 5, 2020 at 16:42 | comment | added | fedja | @Bazin You are most cordially welcome :-) | |
| Sep 5, 2020 at 16:27 | comment | added | Bazin | Yes, fine, thank you very much. | |
| Sep 4, 2020 at 17:21 | comment | added | fedja | @Bazin I'm talking about the Airy function itself in the lemma. The antiderivative never appears in the argument. The integral you are interested in is just viewed as the sum of the areas of positive and negative humps of $Ai(x)$ with alternating signs and the lemma allows you to compare two adjacent humps showing that the one further away from the origin is smaller. Is it clearer now? If not, feel free to ask more questions :-) | |
| Sep 4, 2020 at 8:24 | comment | added | Bazin | Thanks for your answer. I am not completely sure of understanding your point: the antiderivative $z$ of the Airy function does not satisfy a second-order equation, but a third-order one, $z'''(t)= t z'(t)$. I am probably missing something. | |
| Sep 3, 2020 at 22:14 | history | answered | fedja | CC BY-SA 4.0 |