✦ LIBER ✦

A Binomial Identity

✍ Scribed by L. Carlitz

Book ID: 124930208
Publisher: Society for Industrial and Applied Mathematics
Year: 1967
Tongue: English
Weight: 209 KB
Volume: 9
Category: Article
ISSN: 0036-1445
DOI: 10.2307/2027447

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

A curious binomial identity

✍ Neil J. Calkin 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 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 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 285 KB

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

Note on a Binomial Identity

✍ Carlitz, L. 📂 Article 📅 1975 🏛 Society for Industrial and Applied Mathematics 🌐 English ⚖ 186 KB

Calkin's binomial identity

✍ M. Hirschhorn 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 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

A Binomial Identity via Differential Equ

A Binomial Identity via Differential Equations

✍ D. Aharonov, U. Elias 📂 Article 📅 2013 🏛 Mathematical Association of America 🌐 English ⚖ 215 KB

A binomial identity related to Calkin's

✍ Zhizheng Zhang 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 140 KB

coefficients.