Dieudonné Mbouna
Centre for Mathematics of the University of Coimbra
ORCID, Mathscinet and Scopus author ID E-mail: dmbouna@aims.ac.tz
Research Interests: Orthogonal Polynomials, Special functions, Approximation and Frame Theory, Mathematical Physics, Random matrix theory, q-series
Education
2021 Ph.D. in Mathematics, University of Coimbra, Portugal
Supervised by: Prof. Dr. José Carlos S. Petronilho and Dr. Kenier Castillo
2015 M.Sc. in Mathematics, African Institute for Mathematical Sciences, Tanzania
2012 DIPES II in Mathematics, University of Yaoundé I, Cameroon
Diploma of the Advanced Teachers’ Training College, second cycle
2009 B.Sc. in Mathematics, University of Dschang, Cameroon
Research Experience
2023 - 2025 : Researcher, Institute for Mathematics of the University of Seville (IMUS), Spain
2022 - 2023 : Postdoctoral researcher at the University of Warsaw, Poland
Postdoctoral researcher at the University of Porto, Portugal
2021 - 2022 : Postdoctoral researcher at the University of Almeria, Spain
2015 - 2016 : Teaching Assistant, African Institute for Mathematical Sciences, Tanzania
2012 - 2014 : High School Mathematics Teacher, Cameroon
Publications
K. Castillo, G. Filipuk and D. Mbouna, On classical orthogonal polynomials on bi-lattices. arXiv:2311.05636 [math.CA] (2023) (Submitted)
K. Castillo and D. Mbouna, Epilegomena to the study of semiclassical orthogonal polynomials. arXiv:2307.10331 [math.CA] (2023) (Submitted);
D. Mbouna and A. Suzuki, Some Appell-type orthogonal polynomials on lattices. Ramanujan J. (2024) ;
D. Mbouna, On an orthogonal polynomial sequence and its recurrence coefficients, Lett. Math. Phys. 114, 54 (2024) ;
K. Castillo and D. Mbouna, A counterexample to a conjecture of M. Ismail, J. Math. Phys. 65, 033507 (2024);
D. Mbouna, A structure relation for some orthogonal polynomials, Mediterr. J. Math 20:237 (2023) ;
D. Mbouna, Juan F. Mañas-Mañas, Juan J. Moreno-Balcázar, Characterization of Orthogonal Polynomials on lattices, Integral Transforms Spec. Funct., 34 (2023) no. 9, 675-689;
K. Castillo and D. Mbouna, Proof of two conjectures on Askey-Wilson polynomials, Proc. Amer. Math. Soc., 151(4) (2023), 1655-1661;
R. Álvarez-Nodarse, K. Castillo, D. Mbouna and J. Petronilho: On discrete coherent pairs of measures, J. Difference Equ. Appl., vol. 28, no. 7 (2022) 853-868;
K. Castillo, D. Mbouna, and J. Petronilho: A characterization of continuous q-Jacobi, Chebyshev of the first kind and Al-Salam Chihara polynomials, J. Math. Anal. Appl. 514 (2022) 126358;
D. Mbouna and A. Suzuki, On another characterization of Askey-Wilson polynomials. Results Math 77, 148 (2022);
K. Castillo, D. Mbouna, and J. Petronilho: On the functional equation for classical orthogonal polynomials on lattices, J. Math. Anal. Appl. 515 (2022) 126390;
K. Castillo, D. Mbouna, and J. Petronilho: Remarks on Askey-Wilson polynomials and Meixner polynomials of the second kind, Ramanujan J., 58 (2022) 1159-1170.
R. Álvarez-Nodarse, K. Castillo, D. Mbouna and J. Petronilho: On classical orthogonal polynomials related to Hahn’s operator, Integral Transforms Spec. Funct., 31 (2020) 487-505;
K. Castillo and D. Mbouna, On another extension of coherent pairs of measures, Indag. Math. (N.S.), 31 (2020) 223-234.
Book Chapters
K. Castillo, D. Mbouna and J. Petronilho, On classical orthogonal polynomials on lattices and some characterization theorems, arXiv:2209.04615
D. Mbouna,. Coherent pair of measures for orthogonal polynomials on lattices, to appear in Coimbra
Mathematical Texts (vol. Orthogonal Polynomials and Special Functions: In Memory of José Carlos Petronilho), Springer, arXiv:2301.02776;
D. Mbouna and A. Suzuki,. First type characterization of Askey-Wilson polynomials, arXiv:2302.08396