Timeline for A strange polynomial equality
Current License: CC BY-SA 3.0
4 events
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Oct 11, 2015 at 19:01 | comment | added | Dan Romik | Well, the Legendre polynomials have the explicit expansion $P_n(x)=2^n \sum_{k=0}^n \binom{n}{k} \binom{(n+k-1)/2}{n} x^k$, so by equating coefficients of $x^m$ on both sides of your strange identity, you will reduce the whole thing to a hypergeometric summation identity. Those can be attacked by standard technology, canonically described in the wonderful book A=B by Petkovsek, Wilf and Zeilberger. I leave the details as an exercise. :-) | |
| Oct 11, 2015 at 10:18 | history | edited | Ilya Bogdanov | CC BY-SA 3.0 |
added 84 characters in body
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| Oct 11, 2015 at 9:50 | history | asked | Ilya Bogdanov | CC BY-SA 3.0 |