Personal identification

Full name

José Luis dos Santos Cardoso

Citation names

• Cardoso, José Luis dos Santos
• Cardoso. J. L.
• Cardoso, J.L.
• Cardoso. José Luis

Author identifiers

Ciência ID

8B17-66EA-A14A

ORCID iD

0000-0002-7418-3634

AuthenticusID

R-000-8FD

Researcher Id

M-9078-2018

Scopus Author Id

35386045600

Languages

Language	Speaking	Reading	Writing	Listening	Peer-review
Portuguese	Advanced (C1)	Advanced (C1)	Advanced (C1)	Advanced (C1)
English	Advanced (C1)	Advanced (C1)	Advanced (C1)	Advanced (C1)
Spanish; Castilian	Intermediate (B1)	Advanced (C1)	Intermediate (B1)	Intermediate (B1)
French	Intermediate (B1)	Advanced (C1)	Intermediate (B1)	Intermediate (B1)

	Degree	Classification
1996/10/01 - 2000/10/27 Concluded	Doutoramento em Matemática (Doutoramento) Major in Análise Universidade de Trás-os-Montes e Alto Douro, Portugal "Funções sin_q(z) e cos_q(z): propriedades dos zeros; q-séries de Fourier." (THESIS/DISSERTATION)	Aprovado com Distinção e Louvor
1996/10/01 - 2000/10/27 Concluded	Ciências Exactas, Tecnológicas e Naturais (Doutoramento) Major in Sem especialidade Universidade de Trás-os-Montes e Alto Douro, Portugal "Funções Sing(z) e Cosg(z): Propriedades dos Zeros; G-séries de Fourier" (THESIS/DISSERTATION)
1991/01/02 - 1994/12/09 Concluded	Mestrado em Matemática - Área de Especialização em Física Matemática (Mestrado) Major in Física-Matemática Universidade de Coimbra, Portugal "Relações de Recorrência para Funções do Tipo Hipergeométrico. Aplicações Mecano-Quânticas." (THESIS/DISSERTATION)	Muito Bom
1981/10/05 - 1987/07/17 Concluded	Licenciatura em Matemática (Ensino de) (Licenciatura) Universidade de Coimbra, Portugal	14 (Bom)

Teaching in Higher Education

	Category Host institution	Employer
2009/01/12 - Current	Associate Professor (University Teacher)	Universidade de Trás-os-Montes e Alto Douro Escola de Ciências e Tecnologia, Portugal
2009/01/12 - Current	Associate Professor (University Teacher)	Universidade de Trás-os-Montes e Alto Douro, Portugal
2016 - 2019	Associate Professor (University Teacher)	Universidade de Trás-os-Montes e Alto Douro, Portugal
2000/10/27 - 2009/01/11	Assistant Professor (University Teacher)	Universidade de Trás-os-Montes e Alto Douro, Portugal
2000/10/27 - 2009/01/11	Assistant Professor (University Teacher)	Universidade de Trás-os-Montes e Alto Douro Escola de Ciências e Tecnologia, Portugal
1994/12/09 - 2000/10/26	Assistant Professor (University Teacher)	Universidade de Trás-os-Montes e Alto Douro, Portugal
1994/12/09 - 2000/10/26	Assistant Professor (University Teacher)	Universidade de Trás-os-Montes e Alto Douro Escola de Ciências e Tecnologia, Portugal
1990/10/01 - 1994/12/09	Trainee Assistant (University Teacher)	Universidade de Trás-os-Montes e Alto Douro, Portugal

Positions / Appointments

	Category Host institution	Employer
2016 - 2017	Conselho científico/técnico-científico ou orgão correspondente	Universidade de Trás-os-Montes e Alto Douro, Portugal
2016 - 2017	Scientific commitee/technical-scientific or correspondent board	Universidade de Trás-os-Montes e Alto Douro, Portugal
2013 - 2016	Conselho científico/técnico-científico ou orgão correspondente	Universidade de Trás-os-Montes e Alto Douro Escola de Ciências e Tecnologia, Portugal
2013 - 2016	Scientific commitee/technical-scientific or correspondent board	Universidade de Trás-os-Montes e Alto Douro Escola de Ciências e Tecnologia, Portugal
2009/04 - 2013/04	Organic Unit Director	Universidade de Trás-os-Montes e Alto Douro Escola de Ciências e Tecnologia, Portugal
2001/02 - 2003/02	Organic Unit Director	Universidade de Trás-os-Montes e Alto Douro Escola de Ciências e Tecnologia, Portugal
	Universidade de Trás-os-Montes e Alto Douro, Portugal

Grant

	Designation	Funders
1998/06/01 - 1998/12/31	DOUTORAMENTO NA ÁREA DAS FUNÇÕES ESPECIAIS PRAXIS XXI/BD/15884/98 Arizona State University, United States	Fundação para a Ciência e a Tecnologia Concluded

Contract

	Designation	Funders
2011/01/01 - 2013/12/31	Projecto Estratégico - UI 4080 - 2011-2012 PEst-OE/MAT/UI4080/2011 Universidade de Trás-os-Montes e Alto Douro, Portugal	Fundação para a Ciência e a Tecnologia Concluded
2011/01/01 - 2012/12/31	Projecto Estratégico - UI 324 - 2011-2012 PEst-C/MAT/UI0324/2011 Universidade de Coimbra, Portugal Universidade de Coimbra Centro de Matemática, Portugal	Fundação para a Ciência e a Tecnologia Concluded

Other

	Designation	Funders
1996 - 2001	PRAXIS/2/21/MAT/458/94 PRAXIS/2/21/MAT/458/94 Other Universidade de Coimbra Centro de Matemática, Portugal	Concluded

Publications

Journal article

J.L. Cardoso; Enas M. Shehata. "Hermite-Hadamard inequalities for quantum integrals: A unified approach". Applied Mathematics and Computation (2024): https://doi.org/10.1016/j.amc.2023.128345. 10.1016/j.amc.2023.128345 Avin O. Karim; Enas M. Shehata; José Luis Cardoso. "The Directional Derivative in General Quantum Calculus". Symmetry (2022): https://doi.org/10.3390/sym14091766. 10.3390/sym14091766 J. L. Cardoso. "A ß-Sturm-Liouville problem associated with the general quantum operator". Journal of Difference Equations and Applications (2021): 1-17. https://doi.org/10.1080/10236198.2021.1928658. 10.1080/10236198.2021.1928658 Cardoso, J. L.. "A ß-Sturm-Liouville problem associated with the general quantum operator". Journal of Difference Equations and Applications 27 4 (2021): 579-595. http://dx.doi.org/10.1080/10236198.2021.1928658. Published Cardoso. J. L.. Corresponding author: Cardoso. J. L.. "Variations around a general quantum operator". The Ramanujan Journal (2020): http://dx.doi.org/10.1007/s11139-019-00210-8. Published • 10.1007/s11139-019-00210-8 Abreu, L. D.; Álvarez-Nodarse, R.; Cardoso, J. L.. "Uniform convergence of basic Fourier-Bessel series on a q-linear grid". The Ramanujan Journal 2019 (2019): 1-29. https://doi.org/10.1007/s11139-018-0070-3. Published • 10.1007/s11139-018-0070-3 Cardoso, J. L.; Cardoso, José Luís Dos Santos; Cardoso, José. "On Basic Fourier-Bessel Expansions". Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 14 035 (2018): 1-13. https://doi.org/10.3842/SIGMA.2018.035. Published • 10.3842/SIGMA.2018.035 Cardoso, J. L.; Petronilho, J.; Cardoso, José. "Variations around Jackson's quantum operator". Methods and Applications of Analysis 22 4 (2015): 343-358. Published • 10.4310/MAA.2015.v22.n4.a1 Álvarez-Nodarse, R.; Cardoso, J.L.. "On the properties of special functions on the linear-type lattices". Journal of Mathematical Analysis and Applications 405 1 (2013): 271-285. http://www.scopus.com/inward/record.url?eid=2-s2.0-84876196426&partnerID=MN8TOARS. Published • 10.1016/j.jmaa.2013.03.058 Cardoso, J.L.. "Basic Fourier Series: Convergence on and Outside the q-Linear Grid". Journal of Fourier Analysis and Applications 17 1 (2011): 96-114. http://www.scopus.com/inward/record.url?eid=2-s2.0-79251596902&partnerID=MN8TOARS. Published • 10.1007/s00041-010-9161-2 Cardoso, J.L.; Fernandes, C.M.; Álvarez-Nodarse, R.. "Structural and recurrence relations for hypergeometric-type functions by nikiforov-uvarov method". Electronic Transactions on Numerical Analysis 35 1 (2009): 17-39. http://www.scopus.com/inward/record.url?eid=2-s2.0-76049104714&partnerID=MN8TOARS. Published Cardoso, J.L.; Costa, E. M.. "Ladder type operators and recurrence relations for the radial wave functions of the N-th dimensional oscillators and hydrogenlike atoms". Iniciación a la Investigación - Universidad de Jaén 1 a10 (2006): 1-18. https://dialnet.unirioja.es/ejemplar/420934. Published Cardoso, J.L.. "Basic Fourier series on a q-linear grid: Convergence theorems". Journal of Mathematical Analysis and Applications 323 1 (2006): 313-330. http://www.scopus.com/inward/record.url?eid=2-s2.0-33747762596&partnerID=MN8TOARS. Published • 10.1016/j.jmaa.2005.10.043 Álvarez-Nodarse, R.; Cardoso, J.L.; Quintero, N.R.. "On recurrence relations for radial wave functions for the N-th dimensional oscillators and hydrogenlike atoms: Analytical and numerical study". Electronic Transactions on Numerical Analysis 24 (2006): 7-23. http://www.scopus.com/inward/record.url?eid=2-s2.0-33646380611&partnerID=MN8TOARS. Published Álvarez-Nodarse, R.; Cardoso, J.L.; Quintero, N.R.. "On recurrence relations for radial wave functions for the N-th dimensional oscillators and hydrogenlike atoms: Analytical and numerical study". Electronic Transactions on Numerical Analysis 24 (2006): 7-23. http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:000243238400003&KeyUID=WOS:000243238400003. Álvarez-Nodarse, R.; Cardoso, J.L.. "Recurrence relations for discrete hypergeometric functions". Journal of Difference Equations and Applications 11 9 (2005): 829-850. http://www.scopus.com/inward/record.url?eid=2-s2.0-24344489918&partnerID=MN8TOARS. Published • 10.1080/10236190500089846 Cardoso, J.L.; Álvarez-Nodarse, R.. "Recurrence relations for radial wavefunctions for the Nth-dimensional oscillators and hydrogenlike atoms". Journal of Physics A: Mathematical and General 36 8 (2003): 2055-2068. http://www.scopus.com/inward/record.url?eid=2-s2.0-0037470286&partnerID=MN8TOARS. 10.1088/0305-4470/36/8/304 Abreu, L.D.; Bustoz, J.; Cardoso, J.L.; Cardoso, J. L.; Cardoso, José. "The roots of the third Jackson q-Bessel function". International Journal of Mathematics and Mathematical Sciences 2003 67 (2003): 4241-4248. http://www.scopus.com/inward/record.url?eid=2-s2.0-16244371703&partnerID=MN8TOARS. Published • 10.1155/S016117120320613X Bustoz, J.; Cardoso, J.L.. "Basic analog of fourier series on a q-linear grid". Journal of Approximation Theory 112 1 (2001): 134-157. http://www.scopus.com/inward/record.url?eid=2-s2.0-0035184314&partnerID=MN8TOARS. Published • 10.1006/jath.2001.3599 Bustoz, J.; Cardoso, J.L.. "Erratum: "Basic analog of fourier series on q-linear grid" (Journal of Approximation Theory (2001) vol. 112 (1) (134-157))". Journal of Approximation Theory 113 2 (2001): http://www.scopus.com/inward/record.url?eid=2-s2.0-0035701876&partnerID=MN8TOARS. 10.1006/jath.2001.3648

Other

Other output

A ß-Sturm liouville problem associated with the general quantum operator. 2021. Cardoso, J.L.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85169947178&partnerID=MN8TOARS. 10.48550/arxiv.2101.04217 On basic fourier–bessel expansions. 2017. Cardoso, J.L.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85095647173&partnerID=MN8TOARS. UNIFORM CONVERGENCE OF FOURIER-BESSEL SERIES ON A Q-LINEAR GRID. 2017. ABREU, L.D.; ALVAREZ-NODARSE, R.; CARDOSO, J.L.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85170738686&partnerID=MN8TOARS. 10.48550/arxiv.1710.08823