| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4621421 | Journal of Mathematical Analysis and Applications | 2008 | 8 Pages |
Abstract
We study the remainder RN(x) in an asymptotic expansion due to S.N.M. Ruijsenaars, for the logarithm of the double gamma function. We show that for any even number N the function is completely monotonic on (0,∞). This proves a recent conjecture of H.L. Pedersen. In addition, we give an estimate for the remainder RN(x) for N even.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
