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Identification

Personal identification

Full name
Dieudonné Mbouna

Citation names

  • D. Mbouna

Author identifiers

Ciência ID
BE10-5EAC-6D75

Telephones

Telephone
  • (+351) 966226788 (Personal)

Addresses

  • Rua Figueira da Foz, no. 136, 3000-184, Coimbra, Coimbra, Portugal (Personal)

Knowledge fields

  • Exact Sciences - Mathematics - Pure Mathematics

Languages

Language Speaking Reading Writing Listening Peer-review
French (Mother tongue)
English Proficiency (C2) Proficiency (C2) Proficiency (C2) Proficiency (C2) Proficiency (C2)
Portuguese Intermediate (B1) Intermediate (B1) Intermediate (B1) Intermediate (B1) Intermediate (B1)
Education
Degree Classification
2016/09/18 - 2021/03/10
Concluded
UC|UP Joint PhD Program in Mathematics, (Doutoramento)
Universidade de Coimbra, Portugal
"On some Problems in the Theory of Orthogonal Polynomials" (THESIS/DISSERTATION)
Maximum classification
2014/10/14 - 2015/07/18
Concluded
Structured Master degree in Mathematical Sciences (Master)
African Institute for Mathematical Sciences, Tanzania
"Frames and Wavelet transforms: Application to predict epileptic seizures" (THESIS/DISSERTATION)
2010/10/08 - 2012/09/04
Concluded
DIPES II in Mathematics, Diploma of the Advanced Teachers' Training College, second cycle (Master)
University of Yaoundé I, Ecole Normale Supérieure, Cameroon
"Fourier's Transform: Application to a Second Order Differential Equation" (THESIS/DISSERTATION)
2006/10/05 - 2009/09/18
Concluded
Bachelor in Mathematics and Computer Sciences (Bachelor)
University of Dschang, Cameroon
Affiliation

Science

Category
Host institution
Employer
2022/02/01 - 2022/12/31 Invited Principal Investigator (Research) Universidad de Almería, Spain
Universidad de Almería, Spain
2016/09/18 - 2021/11/29 Researcher (Research) Universidade de Coimbra, Portugal
Universidade de Coimbra Centro de Matemática, Portugal
Projects

Contract

Designation Funders
2022/02/01 - 2022/07/31 Orthogonal polynomials: analytic and functional approaches, classical and quantic applications
UAL18-FQM-B025-A
Post-doc
Universidad de Almería, Spain
European Regional Development Fund
Ongoing
2016/09/18 - 2020/12/31 On Some Problems in the Theory of Orthogonal Polynomials
PD/BI/128132/2016 and PD/BD/135295/2017
PhD Student Fellow
Universidade de Coimbra, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
Outputs

Publications

Journal article
  1. K. Castillo, D. Mbouna. Corresponding author: K. Castillo, D. Mbouna. "Proof of two conjectures on Askey-Wilson polynomials". (2022):
    Under revision
  2. Castillo, K.; Mbouna, D.; Petronilho, J.. "On the functional equation for classical orthogonal polynomials on lattices". Journal of Mathematical Analysis and Applications 515 1 (2022): 126390. http://dx.doi.org/10.1016/j.jmaa.2022.126390.
    10.1016/j.jmaa.2022.126390
  3. Castillo, K.; Mbouna, D.; Petronilho, J.. "A characterization of continuous q-Jacobi, Chebyshev of the first kind and Al-Salam Chihara polynomials". Journal of Mathematical Analysis and Applications 514 2 (2022): 126358. http://dx.doi.org/10.1016/j.jmaa.2022.126358.
    10.1016/j.jmaa.2022.126358
  4. Álvarez-Nodarse, R.; Castillo, K.; Mbouna, D.; Petronilho, J.. "On discrete coherent pairs of measures". Journal of Difference Equations and Applications 28 7 (2022): 853-868. http://dx.doi.org/10.1080/10236198.2022.2097870.
    10.1080/10236198.2022.2097870
  5. Mbouna, D.; Suzuki, A.. "On Another Characterization of Askey-Wilson Polynomials". Results in Mathematics 77 4 (2022): http://dx.doi.org/10.1007/s00025-022-01700-w.
    10.1007/s00025-022-01700-w
  6. Castillo, K.; Mbouna, D.; Petronilho, J.. "Remarks on Askey–Wilson polynomials and Meixner polynomials of the second kind". The Ramanujan Journal 58 4 (2021): 1159-1170. http://dx.doi.org/10.1007/s11139-021-00508-6.
    10.1007/s11139-021-00508-6
  7. Castillo, K.; Mbouna, D.. "On another extension of coherent pairs of measures". Indagationes Mathematicae 31 2 (2020): 223-234. http://dx.doi.org/10.1016/j.indag.2020.01.001.
    Published • 10.1016/j.indag.2020.01.001
  8. Álvarez-Nodarse, R.; Castillo, K.; Mbouna, D.; Petronilho, J.. "On classical orthogonal polynomials related to Hahn's operator". Integral Transforms and Special Functions 31 6 (2019): 487-505. http://dx.doi.org/10.1080/10652469.2019.1702981.
    Published • 10.1080/10652469.2019.1702981
Activities

Oral presentation

Presentation title Event name
Host (Event location)
2022/03/01 Proof of three conjectures by M. E. H. Ismail. Training activity for Ph. D students
University of Cadiz (Cadiz, Spain)
2019/09/04 Classical Orthogonal Polynomials with respect to the Hahn Operator Joint Summer School of the UC|UP, MAP|PDMA and PDMat|UA PhD Programs
Universidade de Minho, Braga (Braga, Portugal)
2019/07/26 On $\pi-N$ -coherent pairs with index M of order (m, k ) of orthogonal polynomials sequences 15th International Symposium on Orthogonal Polynomials, Special Functions and Applications
Research Institute for Symbolic Computation (RISC) of the Johannes Kepler University Linz (JKU) and the Johann Radon Institute for Computational and Applied Mathematics (RICAM) of the Austrian Academy of Sciences (ÖAW) (LINZ, Austria)
2018/11/04 $(M, N) - D_{q,w}$ coherent pairs of order (m, k ) and Semi-classical Orthogonal Polynomial Sequences
Universidade do Porto (Porto, Portugal)
2018/07/09 (M, N)-D_x coherent pairs of order (m, k ) and Sobolev orthogonal polynomials on a nonuniform lattice Encontro Nacional Sociedade Portuguesa de Mathematica (National Meeting of Portuguese Society of Mathematics, ENSPM 2018)
Polytechnic Institute of Bragança (Bragança, Portugal)

Event participation

Activity description
Type of event
Event name
Institution / Organization
2018/10/04 - 2018/10/17 AIMS-Volkswagen Workshop on Orthogonal Polynomials and Applications
Workshop
AIMS-Volkswagen Workshop on Orthogonal Polynomials and Applications
African Institute for Mathematical Sciences Cameroon, Cameroon
2017/09/02 - 2017/09/16 Summer School of the UC|UP Joint PhD Program in Mathematics Summer School of the UC|UP Joint PhD Program in Mathematics
Universidade do Porto, Portugal

Course / Discipline taught

Academic session Degree Subject (Type) Institution / Organization
2015/10/04 - 2016/07/13 Tutor/Academic Assistant Teacher Strucured Master in Mathematics African Institute for Mathematical Sciences, Tanzania
Distinctions

Award

2017 PhD scholarship (PD/BD/135295/2017)
Fundação para a Ciência e a Tecnologia, Portugal
2016 PhD scholarship (PD/BI/128132/2016)
Fundação para a Ciência e a Tecnologia, Portugal
2014 Master's scholarship
African Institute for Mathematical Sciences, Tanzania

Title

2015 Outstanding Student
African Institute for Mathematical Sciences, Tanzania