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Showing 2004 · math.CAShow all
3 papers · 2 filters
math.CA2004
On powers of Stieltjes moment sequences, II
Christian Berg
We consider the set of Stieltjes moment sequences, for which every positive power is again a Stieltjes moment sequence, we and prove an integral representation of the logarithm of…
math.CA2004
Integral representation of some functions related to the Gamma function
Christian Berg
We prove that the functions Phi(x)=[Gamma(x+1)]^{1/x}(1+1/x)^x/x and log Phi(x) are Stieltjes transforms.
math.CA2004★ 1 cited
The Chen-Rubin conjecture in a continuous setting
Henrik L. Pedersen, Christian Berg
We study the median in the Gamma distribution as a function of the parameter. Using methods from complex analysis we show that the derivative of the median is less than 1 and we th…