On Ruijsenaars' asymptotic expansion of the logarithm of the double gamma function
On Ruijsenaars' asymptotic expansion of the logarithm of the double gamma function
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DOI：
10.1016/j.jmaa.2007.11.021
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发表时间：
2008-05
影响因子：
1.3
通讯作者：
S. Koumandos
中科院分区：
文献类型：
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作者：
S. Koumandos
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 (−1)N2−1RN(x) 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.
