Timeline for A simple question from mathematical analysis (assumption changed) [closed]
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Apr 19, 2013 at 3:35 | history | closed |
Benoît Kloeckner Andreas Blass Bill Johnson Pietro Majer Felipe Voloch |
off topic | |
| Apr 18, 2013 at 13:48 | answer | added | Andrew | timeline score: 4 | |
| Apr 18, 2013 at 10:41 | history | edited | Twi | CC BY-SA 3.0 |
I add a stronger assumptions.
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| Apr 17, 2013 at 18:07 | comment | added | Twi | Let's make it a little bit more difficult. Suppose, in addition, $\alpha_{n}(x)$ is a POLYNOMIAL in $x$. | |
| Apr 17, 2013 at 18:05 | comment | added | Twi | Very nice example, thx! | |
| Apr 17, 2013 at 11:51 | comment | added | Andrew | No. Consider series $\sum_{n=0}^\infty n!e^{-n^2x^2}t^n$. | |
| Apr 17, 2013 at 11:51 | comment | added | Ben Barber | As you suspect, there are easy counterexamples. Take any $\alpha_n$ with $\alpha_n(0) = n!$ and $\alpha_n(x) = 0$ for $|x| \geq 1/n$. Then for non-zero $x$ the series is a polynomial, and $\sum_{n=1}^\infty n!t^n$ diverges except at 0. | |
| Apr 17, 2013 at 11:22 | history | asked | Twi | CC BY-SA 3.0 |