Christian Berg

activity

20082026

most citedA family of entire functions connecting the Bessel function

J_{1}

and the Lambert

W

function

11 citations · 18 across the 5 of their papers we have counts for

collaborators

Showing 2024Show all

2 papers · 1 filter

math.FA2024

Indeterminate Stieltjes moment problems revisited

Christian Berg

We consider a normalized indeterminate Hamburger moment sequence s which is supposed to be Stieltjes. We revisit old results about determinacy/indeterminacy in the sense of Stieltj…

math.CA2024

A complete Bernstein function related to the fractal dimension of Pascal's pyramid modulo a prime

Christian Berg

Let $f_{r} (x) = lo g (1 + r x) / lo g (1 + x)$ for $x > 0$ . We prove that $f_{r}$ is a complete Bernstein function for $0 \leq r \leq 1$ and a Stieltjes function for $1 \leq r$ . This answers a conjecture…