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A Binomial Identity via Differential Equations

โœ Scribed by D. Aharonov, U. Elias


Book ID
120076916
Publisher
Mathematical Association of America
Year
2013
Tongue
English
Weight
215 KB
Volume
120
Category
Article
ISSN
0002-9890

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


A Binomial Identity
โœ L. Carlitz ๐Ÿ“‚ Article ๐Ÿ“… 1967 ๐Ÿ› Society for Industrial and Applied Mathematics ๐ŸŒ English โš– 209 KB
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In this communication we shall prove a curious identity of sums of powers of the partial sum of binomial coefficients. An identity ## Theorem. C;=O (~~_o(~))3=n23"-1+23"-~2"(~). Proof. Definef,=C;=, (Ci=O(k"))3. It is sufficient to show that Write A,=C:=,(,"). Then fn=C;=oA:.

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The purpose of this article is to discuss the following sum:

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