1 citations · 1 across the 3 of their papers we have counts for
4 papers
Linearization coefficients of Bessel polynomials
Christian Berg, Christophe Vignat
We prove positivity results about linearization and connection coefficients for Bessel polynomials. The proof is based on a recursion formula and explicit formulas for the coeffici…
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…
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.
Small eigenvalues of large Hankel matrices:The indeterminate case
Christian Berg, Yang Chen, Mourad E. H. Ismail
In this paper we characterise the indeterminate case by the eigenvalues of the Hankel matrices being bounded below by a strictly positive constant. An explicit lower bound is given…