## Research Interests

My main research interests are in the field of complex analysis, including topics in geometric function theory, in operator theory and spaces of holomorphic functions, and in holomorphic dynamics and its generalizations to higher dimensions. The recent results of my research analyze connections between summability theory and Banach spaces of holomorphic functions in the unit disk.

Here are some of my research papers, presentations, academic work, and softwares related to my research.

### Published articles

• J. Mashreghi, P.-O. Parisé & T. Ransford. Power-series summability methods in de Branges-Rovnyak spaces.
Integral Equations and Operator Thoery, 94 (20). (2022) [ DOI]
• P. Drouin & P.-O. Parisé. Un problème de rendez-vous.
Bulletin de l'AMQ, Vol. 61, no. 4, 14p. (2022)
• J. Mashreghi, P.-O. Parisé & T. Ransford. Failure of approximation of odd functions by odd polynomials.
Constr Approx., Published online. (2021) [arXiv]
• J. Mashreghi, P.-O. Parisé & T. Ransford. Cesàro summability of Taylor series in weighted Dirichlet spaces.
Complex Analysis and Operator Theory, Vol. 15 (7). (2021) [arXiv]
• G. Brouillette, P.-O. Parisé & D. Rochon. Tricomplex Distance Estimation for Filled-in Julia Sets and Multibrot Sets.
IJBC, Vol. 29 (6), 15pp. (2019) [arXiv]
• P.-O. Parisé. Dans l'imaginaire de Berhnard Riemann.
Bulletin de l'AMQ, Vol. 57, no. 1, pp. 33-50. (2017)
• P.-O. Parisé & T. Ransford & D. Rochon. Tricomplex Dynamical Systems Generated by Polynomial of Even Degree.
CMSIM, Vol. 1, pp.38-49. (2017) [arXiv]
• P.-O. Parisé & D. Rochon. Tricomplex Dynamical Systems Generated by Polynomials of Odd Degree.
Fractals, Vol. 25 (3), 11 pp. (2017) [arXiv]
• P.-O. Parisé & D.Rochon. A Study of Dynamics of the Tricomplex Polynomials $$\eta^p + c$$.
Non. Lin. Dyn., Vol. 82 (1), pp.157-171 (2015) [arXiv]