publications

Preprints of my papers can be found on Arxiv.

Publications

  • A. Barhoumi and M. L. Yattselev. Asymptotics of polynomials orthogonal on a cross with a Jacobi-type weight. Complex Anal. Oper. Theory 14, 9 (2020) doi:10.1007/s11785-019-00962-7

  • A. Barhoumi, A. F. Celsus, and A. Deaño. Global-phase portrait and large-degree asymptotics for the Kissing polynomials. Stud Appl Math. (2021); 147: 448– 526. https://doi.org/10.1111/sapm.12387

  • A. B. Barhoumi. Strong asymptotics of Jacobi-type kissing polynomials. Integral Transforms Spec. Funct. (2021); 32:5-8, 377-394, doi: 10.1080/10652469.2021.1923707

Work Submitted or in Preparation

  • A. Barhoumi, P. Bleher, A. Deaño, and M. Yattselev. Investigation of the two-cut phase region in the complex cubic ensemble of random matrices. arXiv:2201.12871. To appear in Journal of Mathematical Physics.

  • A. Barhoumi, and M. Yattselev. Non-Hermitian orthogonal polynomials on a trefoil. Preprint [PDF].

  • A. Barhoumi, O. Lisovyy, P. Miller, and A. Prokhorov. Large-degree rational solutions of the Painlevé III equation near its fixed singular point. In preparation.

Dissertation