Prof. Jihad Souissi is a mathematician specializing in orthogonal polynomials, semi-classical structures, and operator-based characterizations, with particular expertise in Dunkl and q-Dunkl operators. His research advances the analytic and algebraic understanding of classical, semi-classical, and q-orthogonal polynomial families through raising and lowering operators, structure relations, differential and difference equations, and operator transformations. He has authored numerous peer-reviewed publications across high-ranking journals, contributing new theoretical frameworks for polynomial characterization, zero-centroid analysis, Appell and q-Appell structures, coherent pairs, and connections between major orthogonal polynomial sequences such as Laguerre, Jacobi, Hermite, and ultraspherical polynomials. His work also explores applications of operator methods to problems in mathematical physics, including boundary-flux control and Stefan-type free boundary problems. In addition to published research, he has produced several preprints expanding semi-classical theory and Dunkl-based formulations. He has presented his findings at international mathematical conferences and seminars and co-edited a scholarly book on orthogonal polynomials and Dunkl operators. Prof. Souissi also serves as a reviewer for multiple international journals, reflecting his active engagement in the global mathematical research community.

Profiles: Scopus | Orcid | Google Scholar

Featured Publications

Souissi, J. (2025). New findings on zero centroids in semi-classical orthogonal polynomials of class one. Annali dell’Universita di Ferrara. Advance online publication.

Alanezy, K. A., & Souissi, J. (2025). Optimal boundary-flux control of a sharp moving interface in the classical two-phase Stefan problem. Axioms, 14(11), Article 840.

Souissi, J., Alaya, M., & Aloui, B. (2025).Ultraspherical polynomials and Hahn’s theorem with respect to a raising operator. Bulletin of the Belgian Mathematical Society – Simon Stevin.

Srivastava, H. M., Souissi, J., & Aloui, B. (2025). Structure relation of the symmetric q-Dunkl-classical orthogonal q-polynomials. Mathematical Methods in the Applied Sciences.

Alanezy, K. A., & Souissi, J. (2025). A Hahn-type characterization of generalized Hermite polynomials through a Dunkl-based raising operator. Mathematics, 13(21), Article 3371.