An interesting infinite product (Q1312738)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: An interesting infinite product |
scientific article; zbMATH DE number 495329
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An interesting infinite product |
scientific article; zbMATH DE number 495329 |
Statements
An interesting infinite product (English)
0 references
15 August 1994
0 references
The authors generalise the infinite products introduced by \textit{Z. A. Melzak} [Am. Math. Mon. 68, 39--41 (1961; Zbl 0103.04404)] by considering the function \[ D(x):= \lim_{n \to \infty} \prod^{2n+1}_{k=1} \left( 1+{x \over k} \right)^{(-1)^{k+1}k}. \] The authors obtain may interesting properties of the function \(D(x)\).
0 references
convergence of infinite products
0 references
