✦ LIBER ✦

A kind of binomial identity

✍ Scribed by Zhizheng Zhang

Book ID: 104114180
Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 285 KB
Volume: 196
Category: Article
ISSN: 0012-365X
DOI: 10.1016/s0012-365x(98)00191-5

No coin nor oath required. For personal study only.

✦ Synopsis

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

📜 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:.

Note on a Binomial Identity

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

A binomial identity related to Calkin's

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

coefficients.

A -analogue of Zhang’s binomial coeffici

A -analogue of Zhang’s binomial coefficient identities

✍ Victor J.W. Guo; Ying-Jie Lin; Yan Liu; Cai Zhang 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 444 KB

A note on an identity involving binomial

A note on an identity involving binomial coefficients

✍ Zakkula Govindarajulu; Yukio Suzuki 📂 Article 📅 1963 🏛 Springer Japan 🌐 English ⚖ 100 KB

On extensions of Calkin's binomial ident

On extensions of Calkin's binomial identities

✍ Jun Wang; Zhizheng Zhang 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 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.