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 2025Show all

2 papers · 1 filter

math.PR2025

On the entropy for indeterminate moment problems

Christian Berg

For an indeterminate Hamburger moment problem we consider an infinite family of analytic densities solving the moment problem and we prove that they all have finite (Shannon) entro…

math.CA2025

Analytic Versus Algebraic Density of Polynomials

Christian Berg, Brian Simanek, Richard Wellman

We show that under very mild conditions on a measure $μ$ on the interval $[0, \infty)$ , the span of ${x^{k}}_{k = n}^{\infty}$ is dense in $L^{2} (μ)$ for any $n = 0, 1, \dots$ . We present…