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A binomial identity related to Calkin's

✍ Scribed by Zhizheng Zhang


Book ID
104114172
Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
140 KB
Volume
196
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.

✦ Synopsis


coefficients.


πŸ“œ SIMILAR VOLUMES


Calkin's binomial identity
✍ M. Hirschhorn πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 116 KB

We give a fairly direct proof of an identity involving powers of sums of binomial coefficients established recently by Neil J. Calkin, and present some associated formulae. I This research was carried out while the author was on leave from UNSW and visiting

On extensions of Calkin's binomial ident
✍ Jun Wang; Zhizheng Zhang πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 209 KB

In this note, we compute three summations involving a power function and a partial sum of the binomial coe cients, which are extensions of Calkin's identities.

A curious binomial identity
✍ Neil J. Calkin πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 98 KB

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:.

A kind of binomial identity
✍ Zhizheng Zhang πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 285 KB

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

Note on a Binomial Identity
✍ Carlitz, L. πŸ“‚ Article πŸ“… 1975 πŸ› Society for Industrial and Applied Mathematics 🌐 English βš– 186 KB