Ahmad Barhoumi

collaborators

3 papers

math-ph2024

On Airy solutions of P $_{II}$ and the complex cubic ensemble of random matrices, II

Ahmad Barhoumi, Pavel Bleher, Alfredo Deaño +1

We describe the pole-free regions of the one-parameter family of special solutions of P $_{II}$ , the second Painlevé equation, constructed from the Airy functions. This is ac…

math-ph2023

On Airy Solutions of P $_{II}$ and Complex Cubic Ensemble of Random Matrices, I

Ahmad Barhoumi, Pavel Bleher, Alfredo Deaño +1

We show that the one-parameter family of special solutions of P $_{II}$ , the second Painlevé equation, constructed from the Airy functions, as well as associated solutions of…

math.CA2023

Non-Hermitian Orthogonal Polynomials on a Trefoil

Ahmad B. Barhoumi, Maxim L. Yattselev

We investigate asymptotic behavior of polynomials $Q_{n} (z)$ satisfying non-Hermitian orthogonality relations $\int_{Δ} s^{k} Q_{n} (s) ρ (s) d s = 0, k \in {0, \dots, n - 1},$ where $Δ$ …

On Airy solutions of PII​ and the complex cubic ensemble of random matrices, II

On Airy Solutions of PII​ and Complex Cubic Ensemble of Random Matrices, I

Non-Hermitian Orthogonal Polynomials on a Trefoil

On Airy solutions of P $_{II}$ and the complex cubic ensemble of random matrices, II

On Airy Solutions of P $_{II}$ and Complex Cubic Ensemble of Random Matrices, I