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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.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…