most citedLinearization coefficients of Bessel polynomials

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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…