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Details for article 2 of 49 found articles
| Title: |
An inequality conjectured by T.J. Lyons |
| Author: |
Love, E. R. |
| Appeared in: |
Integral transforms and special functions |
| Paging: | Volume 10 (2000) nr. 3-4 pages 283-288 |
| Year: |
2000-12 |
| Contents: |
The conjectured inequality is [image omitted] where [image omitted] n is a positive integer, and [image omitted] The inequality with an extra factor 1/∞ on the right, was proved by Lyons in [2]; but numerical evidence suggested that the extra factor is not necessary. When ∞ = 1 the two sides are equal, by the binomial theorem. The conjecture was proved for [image omitted] with strict inequality, by E.R. Love [1]. The proof established, by means of Legendre's duplications formula for the gamma function, an identity [image omitted] where B denotes the beta function. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 2 of 49 found articles
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