49 citations · 51 across the 7 of their papers we have counts for
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math.CA2007★ 1 cited
Bounds on Tur{á}n determinants
Christian Berg, Ryszard Szwarc
Let μdenote a symmetric probability measure on [-1,1] and let (p_n) be the corresponding orthogonal polynomials normalized such that p_n(1)=1. We prove that the normalized Tur{á}n…
math.ST2007★ 49 cited
The Dagum family of isotropic correlation functions
Christian Berg, Jorge Mateu, Emilio Porcu
A function is a completely monotonic function if and only if is positive definite on for all and thus it repre…
math.CA2007
Quantum Hilbert matrices and orthogonal polynomials
Jorgen Ellegaard Andersen, Christian Berg
Using the notion of quantum integers associated with a complex number , we define the quantum Hilbert matrix and various extensions. They are Hankel matrices corresponding…