Timeline for Decay of the binomial expansion of $f^{\circ k}$
Current License: CC BY-SA 4.0
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 8, 2019 at 4:04 | vote | accept | Richard Diagram | ||
| Feb 7, 2019 at 3:34 | comment | added | Richard Diagram | I think you're on to something here. The more I mess around with this the more I'm doubting its truth. I think I need further conditions on $f$ to get this to work; or I need to finesse the asymptotics more. Frankly, I could only prove $\mathcal{I}_n$ is bounded as $n \to \infty$. I can't even prove it converges to $0$. I may have to do a work around, and take a more complicated path. Thanks for your answer though, I don't know why I didn't think of using the Schroder function more explicitly. I was approaching this using the Mellin transform, and the identity $I_{n+1}(z) - I_n(z) = I_n(f(z))$ | |
| Feb 7, 2019 at 2:55 | history | answered | Joe Silverman | CC BY-SA 4.0 |