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
โฆ LIBER โฆ
On extensions of Calkin's binomial identities
โ Scribed by Jun Wang; Zhizheng Zhang
- Book ID
- 104113299
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 209 KB
- Volume
- 274
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
โฆ Synopsis
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.
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