Dimitar K. Dimitrov

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20142016

most citedMonotonicity of zeros of polynomials orthogonal with respect to a discrete measure

1 citations · 2 across the 3 of their papers we have counts for

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math.CA2015★ 1 cited

Monotonicity of zeros of polynomials orthogonal with respect to a discrete measure

Dimitar K. Dimitrov

We prove that all zeros of the polynomials orthogonal with respect to a measure $d μ (x; a) = d μ (x) + M δ (x - a)$ , where $d μ$ is a nonatomic positive Borel measure and $M > 0$ , are incr…

math.CA2014

Slater determinants of orthogonal polynomials

Dimitar Dimitrov, Yuan Xu

The symmetrized Slater determinants of orthogonal polynomials with respect to a non-negative Borel measure are shown to be represented by constant multiple of Hankel determinants o…