Dimitar K. Dimitrov

activity

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

collaborators

3 papers

math.NT2016★ 1 cited

An extremal problem related to generalizations of the Nyman-Beurling and Báez-Duarte criteria

Dimitar K. Dimitrov, Willian D. Oliveira

We establish generalizations of the Nyman-Beurling and Báez-Duarte criteria concerning lack of zeros of Dirichlet $L$ -functions in the semi-plane $ℜ (s) > 1/ p$ for $p \in (1, 2]$ . We…

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…