Christian Berg

activity

20082026

most citedOn some results of Cufaro Petroni about Student t-processes

7 citations · 7 across the 4 of their papers we have counts for

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3 papers · 1 filter

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…

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…

math.CA2019

A family of entire functions connecting the Bessel function $J_{1}$ and the Lambert $W$ function

Christian Berg, Eugenio Massa, Ana P. Peron

Motivated by the problem of determining the values of $α > 0$ for which $f_{α} (x) = e^{α} - (1 + 1/ x)^{α x}, x > 0$ is a completely monotonic function, we combine Fourier analysis with complex…

Analytic Versus Algebraic Density of Polynomials

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

A family of entire functions connecting the Bessel function J1​ and the Lambert W function

A family of entire functions connecting the Bessel function $J_{1}$ and the Lambert $W$ function