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Graça Maria de Oliveira Tomaz. Concluiu o Doutoramento na Universidade de Aveiro em 2012, o Mestrado em Matemática Aplicada em 1994 na Universidade do Porto e a Licenciatura em Matemática (Ramo Educacional) na Universidade de Coimbra em 1988. É Professor Coordenador no Instituto Politécnico da Guarda. Atua na área de Ciências Exatas com ênfase em Matemática. Nas suas atividades profissionais interagiu com 4 colaborador(es) em coautorias de trabalhos científicos. No seu currículo Ciência Vitae os termos mais frequentes na contextualização da produção científica são: Clifford Analysis; Creation matrix; Pascal matrix; Appell polynomials; Generalized Appell polynomials; Special sequences; Binomial coefficients; Pascal trapezoids; Hypercomplex polynomials; Generating function; Matrix representation of Appell polynomials; Hypercomplex differentiability.
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Identification

Personal identification

Full name
Graça Maria de Oliveira Tomaz

Citation names

  • Tomaz, Graça
  • Tomaz, G.

Author identifiers

Ciência ID
E416-BEC7-ECFE
ORCID iD
0000-0003-3725-2247

Knowledge fields

  • Exact Sciences - Mathematics
Education
Degree Classification
2012
Concluded
 Matemática (Doutoramento)
Major in Matemática
Universidade de Aveiro, Portugal
"Polinómios de Appell multidimensionais e sua representação matricial" (THESIS/DISSERTATION)
1994
Concluded
 Matemática Aplicada (Mestrado)
Major in Matemática Aplicada
Universidade do Porto Faculdade de Ciências, Portugal
"Aproximação-Tau em termos de polinómios canónicos" (THESIS/DISSERTATION)
1988
Concluded
 Matemática (Licenciatura)
Major in Ramo Educacional
Universidade de Coimbra Faculdade de Ciencias e Tecnologia, Portugal
Affiliation

Teaching in Higher Education

Category
Host institution 		Employer
2020 - Current Teacher Coordinator (Polytechnic Teacher) Instituto Politécnico da Guarda Escola Superior de Tecnologia e Gestão, Portugal
1994 - 2020 Adjunct Teacher (Polytechnic Teacher) Instituto Politécnico da Guarda Escola Superior de Tecnologia e Gestão, Portugal
1989 - 1994 Assistant (Polytechnic Teacher) Instituto Politécnico da Guarda Escola Superior de Tecnologia e Gestão, Portugal

Other Careers

Category
Host institution 		Employer
1989 - 1989 Professor do ensino básico e secundário (Professor do ensino básico e secundário) Escola Secundária de Adolfo Portela, Portugal
1988 - 1989 Professor do ensino básico e secundário (Professor do ensino básico e secundário) Escola Secudária de Montemor-o-Velho, Portugal
1987 - 1988 Professor do ensino básico e secundário (Professor do ensino básico e secundário) Escola Secundária Jaime Cortesão, Portugal
Projects

Contract

Designation Funders
2020/01/01 - 2023/12/31 Centro de Investigação e Desenvolvimento em Matemática e Aplicações
UIDP/04106/2020
10.54499/UIDP/04106/2020
Researcher
Universidade de Aveiro, Portugal

Universidade de Aveiro Centro de Investigação e Desenvolvimento em Matemática e Aplicações, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2020/01/01 - 2023/12/31 Centro de Investigação e Desenvolvimento em Matemática e Aplicações
UIDB/04106/2020
10.54499/UIDB/04106/2020
Researcher
Universidade de Aveiro, Portugal

Universidade de Aveiro Centro de Investigação e Desenvolvimento em Matemática e Aplicações, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2019/01/01 - 2019/12/31 Center for Research and Development in Mathematics and Applications
UID/MAT/04106/2019
Universidade de Aveiro, Portugal

Universidade de Aveiro Centro de Investigação e Desenvolvimento em Matemática e Aplicações, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2011/01/01 - 2013/12/31 Projecto Estratégico - UI 4106 - 2011-2012
PEst-C/MAT/UI4106/2011
PEst-OE/MAT/UI4106/2014
Universidade de Aveiro, Portugal

Universidade de Aveiro Centro de Investigação e Desenvolvimento em Matemática e Aplicações, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
Outputs

Publications

Book chapter
  1. Cação, Isabel; Falcão, M. Irene; Malonek, Helmuth R.; Miranda, Fernando; Tomaz, Graça. "On Appell-Vietoris Polynomials". In Computational Science and Its Applications – ICCSA 2024 Workshops, 302-316. Springer Nature Switzerland, 2024.
    Published • 10.1007/978-3-031-65154-0_19
  2. Cação, Isabel; Falcão, M. Irene; Malonek, Helmuth R.; Miranda, Fernando; Tomaz, Graça. "Remarks on the Vietoris Sequence and Corresponding Convolution Formulas". In Computational Science and Its Applications – ICCSA 2023 Workshops, 677-692. Springer Nature Switzerland, 2023.
    Published • 10.1007/978-3-031-37105-9_45
  3. Cação, I.; Falcão, M.I.; Malonek, H. R.; Tomaz, G.. "Non-symmetric Number Triangles Arising from Hypercomplex Function Theory in $$\mathbb {R}^{n+1}$$". In Computational Science and Its Applications – ICCSA 2022 Workshops. ICCSA 2022, 420-434. Springer, 2022.
    Published
  4. Cação, Isabel; Malonek, Helmuth R.; Tomaz, Graça. "Shifted Generalized Pascal Matrices in the Context of Clifford Algebra-Valued Polynomial Sequences". In Computational Science and Its Applications – ICCSA 2017, 409-421. Springer International Publishing, 2017.
    10.1007/978-3-319-62395-5_28
Conference paper
  1. Malonek, H.R.; Cação, I.; Falcão, M.I.; Tomaz, G.. "Starting with the Differential: Representation of Monogenic Functions by Polynomials of Non-monogenic Variables". 2023.
    10.1063/5.0162371
  2. Cação, I.; Malonek, H.R.; Falcão, M.I.; Tomaz, G.. "Generalized Vietoris' Number Sequences from Real and Hypercomplex Points of View". 2023.
    10.1063/5.0163287
  3. Cação, I.; Malonek, H. R.; Falcão, M. I.; Tomaz, G.. "Relating certain coefficients of special hyperholomorphic polynomials with a Horadam sequence". 2022.
    Published • 10.1063/5.0210540
  4. Malonek, H.R.; Cação, I.; Falcão, M.I.; Tomaz, G.. "Harmonic analysis and hypercomplex function theory in co-dimension one". 2019.
    10.1007/978-3-030-26748-3_7
  5. Cação, Isabel; Falcão, M. Irene; Malonek, Helmuth R; Tomaz, Graça. "Pascal trapezoids emerging from hypercomplex polynomial sequences". 2018.
  6. Tomaz, Graça; Malonek, H. R.. "Matrix representation of real and hypercomplex Appell polynomials". 2015.
  7. Tomaz, Graça; Malonek, Helmuth Robert. "Matrix approach to Frobenius-Euler polynomials". 2014.
    10.1007/978-3-319-09144-0_6
  8. Tomaz, Graça; Falcão, M. I.; Malonek, H. R.. "Pascal’s triangle and other number triangles in Clifford analysis". 2012.
    10.1063/1.4756125
  9. Malonek, Helmuth Robert; Tomaz, Graça. "Laguerre polynomials in several hypercomplex variables and their matrix representation". 2011.
    10.1007/978-3-642-21931-3_21
  10. Tomaz, G.; Malonek, H.R.. "Special block matrices and multivariate polynomials". 2010.
    10.1063/1.3498067
  11. Tomaz, Graça. "On block matrices of pascal type in clifford analysis". 2009.
Journal article
  1. Cação, Isabel; Falcão, M. Irene; Malonek, Helmuth R.; Tomaz, Graça. "A Sturm-Liouville equation on the crossroads of continuous and discrete hypercomplex analysis". Mathematical Methods in the Applied Sciences 47 10 (2024): 7962-7987. http://dx.doi.org/10.1002/mma.7684.
    10.1002/mma.7684
  2. Cação, I.; Malonek, H.R.; Falcão, M.I.; Tomaz, G.. "Intrinsic Properties of a Non-Symmetric Number Triangle". Journal of Integer Sequences 26 4 (2023): http://www.scopus.com/inward/record.url?eid=2-s2.0-85160272889&partnerID=MN8TOARS.
  3. Cação, I.; Malonek, H.R.; Falcão, M.I.; Tomaz, G.. "Combinatorial identities associated with a multidimensional polynomial sequence". Journal of Integer Sequences 21 7 (2018): http://www.scopus.com/inward/record.url?eid=2-s2.0-85053168231&partnerID=MN8TOARS.
  4. Aceto, Lídia; Malonek, Helmuth R.; Tomaz, Graça. "Matrix approach to hypercomplex Appell polynomials". Applied Numerical Mathematics (2017): http://hdl.handle.net/10773/21347.
    10.1016/j.apnum.2016.07.006
  5. Aceto, L.; Malonek, H.R.; Tomaz, G.. "A unified matrix approach to the representation of Appell polynomials". Integral Transforms and Special Functions 26 6 (2015): 426-441. http://www.scopus.com/inward/record.url?eid=2-s2.0-84926179269&partnerID=MN8TOARS.
    10.1080/10652469.2015.1013035
  6. Malonek, H.R.; Tomaz, G.. "Bernoulli polynomials and Pascal matrices in the context of Clifford analysis". Discrete Applied Mathematics 157 4 (2009): 838-847. http://www.scopus.com/inward/record.url?eid=2-s2.0-59749104431&partnerID=MN8TOARS.
    10.1016/j.dam.2008.06.009
Thesis / Dissertation
  1. Tomaz, Graça Maria de Oliveira. "Polinómios de Appell multidimensionais e sua representação matricial". PhD, 2012. http://hdl.handle.net/10773/11277.
Activities

Oral presentation

Presentation title Event name
Host (Event location)
2022/07/06 Non-symmetric number triangles arising from Hypercomplex Function Theory in R^{n+1} The 22nd International Conference on Computational Science and Its Applications (ICCSA 2022)
(Málaga, Spain)
2019 Combinatorial identities via hypercomplex Appell polynomials Workshop "New Trends in Quaternions and Octonions"
(Coimbra, Portugal)
2019 Some remarkable combinatorial relations based on methods of hypercomplex function theory The Mediterranean International Conference of Pure & Applied Mathematics and Related Areas (MICOPAM 2019)
(Paris, France)
2018 Matrices of connection coefficients between two number sequences characterizing certain hypercomplex polynomials 18th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2018)
(Rota-Cadiz, Spain)
2018 Pascal trapezoids emerging from hypercomplex polynomial sequences The Mediterranean International Conference of Pure & Applied Mathematics and Related Areas (MICOPAM 2018)
(Antalya, Turkey)
2017 Shifted generalized Pascal matrices in the context of Clifford algebra-valued polynomial sequences 17th International Conference on Computational Science and Its Applications (ICCSA 2017)
(Trieste, Italy)
2016 A matrix approach to monogenic orthogonal polynomial systems Workshop "New Trends in Quaternions and Octonions"
(Braga, Portugal)
2015 Matrix representation of real and hypercomplex Appell polynomials Workshop Non-commutative Algebras and Applications-NCAA
(Goslar, Germany)
2014 Matrix approach to Frobenius-Euler polynomials 14th International Conference on Computational Science and Its Applications (ICCSA 2014)
(Guimarães, Portugal)
2011 Laguerre polynomials in several hypercomplex variables and their matrix representation 13th International Conference on Computational Science and Its Applications (ICCSA 2011)
(Santander, Spain)
2010 Special block matrices and multivariate polynomials International Conference on Numerical Analysis and Applied Mathematics-ICNAAM 2010
(Rhodes, Greece)
2009 Multivariate Appell polynomials and the block creation matrix 4th Workshop "Advanced Special Functions and Solutions of PDEs"
(Sabaudia, Italy)
2009 On block matrices of Pascal type in Clifford Analysis 18th International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering
(Weimar, Germany)
2008 Bernoulli and Euler Polynomials in Clifford Analysis 5th International Conference of Applied Mathematics and Computing
(Plovdiv, Bulgaria)

Event organisation

Event name
Type of event (Role) 		Institution / Organization
2022/11/25 - 2022/11/26 New Trends in Quaternions and Octonions - NTQO 2022 (2022/11/25 - 2022/11/26)
Workshop (Member of the Organising Committee)
 Universidade da Beira Interior, Portugal

CIDMA, Portugal

CMAT, Portugal

CMA-UBI, Portugal
2021 - 2021 New Trends in Quaternions and Octonions - NTQO 2021 (2021/11/26 - 2021/11/27)
Workshop (Member of the Organising Committee)
 Universidade de Trás-os-Montes e Alto Douro Centro de Matemática, Portugal

CIDMA, Portugal

CMAT, Portugal

CMA-UBI, Portugal
2020 - 2020 New Trends in Quaternions and Octonions - NTQO 2020 (2020/02/28 - 2020/02/29)
Workshop (Member of the Organising Committee)
 IPG, Portugal

CIDMA, Portugal

CMAT, Portugal

CMA-UBI, Portugal

Association member

Society Organization name Role
1997 - Current SPM - Sociedade Portuguesa de Matemática
Distinctions

Award

2012 Prémio BES Investigação
Banco Espírito Santo e Comercial de Lisboa, Portugal