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Costas Santos, Roberto Santiago
Imagen
Categoria: Profesor/a Adjunto/a Área de conocimiento: Matemática Aplicada Departamento: Métodos Cuantitativos Grupo de investigación: Métodos de Investigación Cuantitativa y aplicaciones (MICA)
FORMACIÓN
    • Programa Oficial de Doctorado en Ingeniería Matemática, Universidad Carlos III de Madrid, 2007.
    • Licenciado en Ciencias Matemáticas Universidad de Sevilla
EXPERIENCIA DOCENTE

El profesor/a ha impartido las siguientes asignaturas en los últimos años:

    • Álgebra
    • Cálculo
    • Cálculo II
    • Matemáticas I
    • Matemáticas II
ACTIVIDAD INVESTIGADORA
Publicaciones
Artículos
  • The Laguerre Constellation of Classical Orthogonal Polynomials
    COSTAS SANTOS, ROBERTO SANTIAGO , 2025, Mathematics
    10.3390/math13020277
  • Investigating Multidimensional Degenerate Hybrid Special Polynomials and Their Connection to Appell Sequences: Properties and Applications
    Alqahtani, Awatif Muflih , Yousuf, Saleem , Wani, Shahid Ahmad , COSTAS SANTOS, ROBERTO SANTIAGO , 2024, Axioms
    10.3390/axioms13120859
  • On Polar Jacobi Polynomials
    COSTAS SANTOS, ROBERTO SANTIAGO , 2024, Mathematics
    10.3390/math12172767
  • LOCALIZATION OF ZEROS OF POLAR POLYNOMIALS ON THE UNIT DISK
    COSTAS SANTOS, ROBERTO SANTIAGO, Rehouma, Abdelhamid , 2024, Rocky Mt. J. Math.
    10.1216/rmj.2024.54.995
  • Multi-integral representations for Jacobi functions of the first and second kind
    Cohl H.S. , COSTAS SANTOS, ROBERTO SANTIAGO , 2023, Arab J. Basic Appl. Sc.
    10.1080/25765299.2023.2268911
  • Integral Representations of a Generalized Linear Hermite Functional
    COSTAS SANTOS, ROBERTO SANTIAGO , 2023, Mathematics
    10.3390/math11143227
  • Nonterminating transformations and summations associated with some q-Mellin–Barnes integrals
    Cohl H.S. , COSTAS SANTOS, ROBERTO SANTIAGO , 2023, Adv. Appl. Math.
    10.1016/j.aam.2023.102517
  • Symmetry of terminating basic hypergeometric series representations of the Askey–Wilson polynomials
    Cohl H.S. , COSTAS SANTOS, ROBERTO SANTIAGO , 2023, J. Math. Anal. Appl.
    10.1016/j.jmaa.2022.126583
  • Generalizations of generating functions for basic hypergeometric orthogonal polynomials
    Cohl, Howard S. , COSTAS SANTOS, ROBERTO SANTIAGO, Hwang, Philbert R. , Wakhare, Tanay V. , 2022,
  • On the Relation Between Gegenbauer Polynomials and the Ferrers Function of the First Kind
    Cohl, H. S. , COSTAS SANTOS, ROBERTO SANTIAGO , 2022, Anal. Math.
    10.1007/s10476-022-0123-0
  • Utility of integral representations for basic hypergeometric functions and orthogonal polynomials
    Cohl, Howard S. , COSTAS SANTOS, ROBERTO SANTIAGO , 2022, Ramanujan J.
    10.1007/s11139-021-00509-5
  • On Polynomials Orthogonal with Respect to an Inner Product Involving Higher-Order Differences: The Meixner Case
    COSTAS SANTOS, ROBERTO SANTIAGO, Soria-Lorente, Anier , Vilaire, Jean-Marie , 2022, Mathematics
    10.3390/math10111952
  • Multi-Integral Representations for Associated Legendre and Ferrers Functions
    Cohl, Howard S. , COSTAS SANTOS, ROBERTO SANTIAGO , 2020, Symmetry
    10.3390/sym12101598
  • Terminating Basic Hypergeometric Representations and Transformations for the Askey-Wilson Polynomials
    Cohl, Howard S. , COSTAS SANTOS, ROBERTO SANTIAGO, Ge, Linus , 2020, Symmetry
    10.3390/sym12081290
  • On a generalization of the Rogers generating function
    Cohl, Howard S. , COSTAS SANTOS, ROBERTO SANTIAGO, Wakhare, Tanay V. , 2019, J. Math. Anal. Appl.
    10.1016/j.jmaa.2019.01.068
  • Some Generating Functions for q-Polynomials
    Cohl, Howard S. , COSTAS SANTOS, ROBERTO SANTIAGO, Wakhare, Tanay V. , 2018, Symmetry
    10.3390/sym10120758
  • Analytic properties of some basic hypergeometric-Sobolev-type orthogonal polynomials
    COSTAS SANTOS, ROBERTO SANTIAGO, Soria-Lorente, Anier , 2018, J. Differ. Equ. Appl.
    10.1080/10236198.2018.1517760
  • The power collection method for connection relations: Meixner polynomials
    Badder, H. S. , Cohl, Howard S. , COSTAS SANTOS, ROBERTO SANTIAGO, Xu, William , 2017,
    10.7153/jca-11-02
  • Matrices totally positive relative to a tree, II
    COSTAS SANTOS, ROBERTO SANTIAGO, Johnson, C. R. , 2016, Linear Algebra Its Appl
    10.1016/j.laa.2016.04.021
  • THE COMPLEMENTARY POLYNOMIALS AND THE RODRIGUES OPERATOR OF CLASSICAL ORTHOGONAL POLYNOMIALS
    COSTAS SANTOS, ROBERTO SANTIAGO, Marcellan Espanol, Francisco , 2012, Proc. Am. Math. Soc.
    10.1090/S0002-9939-2012-11229-8
  • Zeros of polynomials orthogonal with respect to a signed weight
    Atia, M. J. , Benabdallah, M. , COSTAS SANTOS, ROBERTO SANTIAGO , 2012, Indag. Math.
    10.1016/j.indag.2011.09.011
  • Orthogonality of q-polynomials for non-standard parameters
    COSTAS SANTOS, ROBERTO SANTIAGO, Sanchez-Lara, J. F. , 2011, J. Approx. Theory
    10.1016/j.jat.2011.04.005
  • The semiclassical Sobolev orthogonal polynomials A general approach
    COSTAS SANTOS, ROBERTO SANTIAGO, Moreno-Balcazar, J. J. , 2011, J. Approx. Theory
    10.1016/j.jat.2010.03.001
  • q-Classical Orthogonal Polynomials: A General Difference Calculus Approach
    COSTAS SANTOS, ROBERTO SANTIAGO, Marcellan, F. , 2010, Acta Appl Math
    10.1007/s10440-009-9536-z
  • On the elementary symmetric functions of a sum of matrices
    COSTAS SANTOS, ROBERTO SANTIAGO , 2009, JP Journal of Algebra, Number Theory and Applications
  • MATRICES TOTALLY POSITIVE RELATIVE TO A TREE
    Johnson, Charles R. , COSTAS SANTOS, ROBERTO SANTIAGO, Tadchiev, Boris , 2009, Electron J. Linear Algebra
    10.13001/1081-3810.1306
  • Extensions of discrete classical orthogonal polynomials beyond the orthogonality
    COSTAS SANTOS, ROBERTO SANTIAGO, Sanchez-Lara, J. F. , 2009, J. Comput. Appl. Math.
    10.1016/j.cam.2008.07.055
  • Second structure relation for q-semiclassical polynomials of the Hahn Tableau
    COSTAS SANTOS, ROBERTO SANTIAGO, Marcellan, F. , 2007, J. Math. Anal. Appl.
    10.1016/j.jmaa.2006.06.036
  • Factorization of the hypergeometric-type difference equation on the uniform lattice
    Alvarez-Nodarse, R. , Atakishiyev, N. M. , COSTAS SANTOS, ROBERTO SANTIAGO , 2007, Electron. Trans. Numer. Anal.
  • Limit relations between q-Krall type orthogonal polynomials
    Alvarez-Nodarse, R. , COSTAS SANTOS, ROBERTO SANTIAGO , 2006, J. Math. Anal. Appl.
    10.1016/j.jmaa.2005.08.067
  • A q-analog of Racah polynomials and q-algebra SUq(2) in quantum optics
    Alvarez-Nodarse, R. , Smirnov, Yu. F. , COSTAS SANTOS, ROBERTO SANTIAGO , 2006, J. Russ. Laser Res.
    10.1007/s10946-006-0001-4
  • Factorization of the hypergeometric-type difference equation on non-uniform lattices: dynamical algebra
    Alvarez-Nodarse, R , Atakishiyev, NM , COSTAS SANTOS, ROBERTO SANTIAGO , 2005, J. Phys. Math. Gen.
    10.1088/0305-4470/38/1/011
  • Principal minor sums of (A+tB)^m
    Johnson, Charles , Leichenauer, Stefan , McNamara, Peter , COSTAS SANTOS, ROBERTO SANTIAGO , 2005, Linear Algebra Its Appl
  • Factorization method for difference equations of hypergeometric type on nonuniform lattices
    Alvarez-Nodarse, R , COSTAS SANTOS, ROBERTO SANTIAGO , 2001, J. Phys. Math. Gen.
    10.1088/0305-4470/34/27/306
Capitulos de libro
  • Sobolev orthogonal polynomials: Connection formulae
    COSTAS SANTOS, ROBERTO SANTIAGO , 2022, Ediciones UDG, 2022
  • Actas del XIII Congreso de Tecnología, Aprendizaje y Enseñanza de la Electrónica
    Escudero Hernanz, M. Soledad , Batanero Ochaita, M. Concepción , Andrés Rubio, Ana Isabel de , Mártin, Ernesto , Ros Magán, Germán , Gómez Moreno, Hilario , COSTAS SANTOS, ROBERTO SANTIAGO, Macias Guarasa, Javier , Lafuente Arroyo, Sergio , 2018,
  • The orthogonality of Al-Salam-Carlitz polynomials for complex parameters
    Cohl H.S. , COSTAS SANTOS, ROBERTO SANTIAGO, Xu W. , 2018, World Scientific Publishing Co. Pte. Ltd.
    10.1142/9789813228887_0008
  • ATICA 2016. Aplicaciones de Tecnologías de la Información y Comunicaciones Avanzadas.
    Ros Magán, Germán , Raposo Sánchez, Miguel Angel , Arco Rodríguez, José Manuel , Naranjo Vega, Fernando Bernabé , COSTAS SANTOS, ROBERTO SANTIAGO, Pérez Díaz, Sonia , Blasco Lorenzo, Ángel , Bravo de la Parra, Rafael , Rosa Sánchez, Elisa , Gómez Moreno, Hilario , Martín, Ernesto , Macias Guarasa, Javier , Lafuente Arroyo, Sergio , Gil Jimenez, Pedro , Saiz Villanueva, Elisa , Batanero Ochaita, María Concepción , Siegmann, Philip , 2016,
Congresos
  • Multi-integral representations for Jacobi functions of the first and second kind
    Ponencia del Congreso - 9th European Congress of Mathematics 2024
    2024
  • Sobolev orthogonal polynomials: connection formulas and zeros
    Ponencia del Congreso - IMAG Conference on Orthogonal Polynomials, Special Functions and Applications - OPSFA17
    2024
  • Orthogonality of the big -1 Jacobi polynomials for non-standard parameters
    Ponencia del Congreso - 2023 Virtual Spring Eastern Sectional Meeting
    2023
  • Hypergeometric functions, difference equations and Wronskians.
    Ponencia del Congreso - 16th International Symposium on Orthogonal Polynomials, Special Functions and Applications
    2022
  • Una sesión básica de Latex
    Ponencia del Congreso - COMPUMATG 2022 Seminars
    2022
  • Multi-integral representations for associated Legendre and Ferrers functions
    Ponencia del Congreso - 2021 CMS Winter Meeting
    2021
  • Classical Orthogonal Polynomials: Orthogonality and duality
    Ponencia del Congreso - 2nd International Conference on Symmetry.
    2019
  • Exceptional Orthogonal Polynomials from the Semi-classical point of view
    Ponencia del Congreso - 15th International symposium on Orthogonal Polynomial, Special Functions and Applications
    2019
  • A first study of Zeros of Classical Orthogonal Polynomial
    Ponencia del Congreso - Seminario de Matemática Aplicada del CITE III
    2018
  • q-Polynomials for non-standard parameters. Orthogonality and new identities
    Ponencia del Congreso - 14th International symposium on Orthogonal Polynomial, Special Functions and Applica- tions
    2017
  • Basic hypergeometric orthogonal polynomials
    Ponencia del Congreso - CARMA Seminar
    2016
  • q-polynomials. Orthogonality in the complex plane and more
    Ponencia del Congreso - The Real World is Complex
    2015
  • Conociendo mejor a los q-polinomios
    Ponencia del Congreso - V encuentro iberoamericano de polinomios ortogonales y sus aplicaciones
    2015
  • Generalizations of Generating Functions for Meixner and Krawtchouk Polynomials
    Ponencia del Congreso - 13th International symposium on Orthogonal Polynomial, Special Functions and Applica- tions
    2015
  • Extensions of discrete orthogonal polynomials beyond the orthogonality
    Ponencia del Congreso - International Conference on Orthogonal Polynomials and q-Series.
    2015
  • The orthogonality relations of the Al-Salam-Carlitz polynomials for general parameters
    Ponencia del Congreso - Seminario GAMA - UC3M
    2015
  • Sobre algunas propiedades de la función Zeta de Riemann
    Ponencia del Congreso - Seminario GAMA - UC3M
    2015
  • Exceptional Orthogonal Polynomials from the Semi-classical point of view
    Ponencia del Congreso - Seminario GAMA - UC3M
    2015
  • El operador de Rodrigues y los polinomios multi-ortogonales de tipo II
    Ponencia del Congreso - Seminario GAMA - UC3M
    2015
  • El método de factorización para ecuaciones en diferencias de tipo hipergeométrico
    Ponencia del Congreso - Seminario GAMA - UC3M
    2015
  • El método de factorización de ecuaciones en diferencias de tipo hipergeométrico sobre redes no lineales
    Ponencia del Congreso - Seminario GAMA - UC3M
    2015
  • Curso basico de PROSPER
    Ponencia del Congreso - Seminario GAMA - UC3M
    2015
  • La función Zeta de Riemann y sus q-extensiones. Aplicaciones
    Ponencia del Congreso - Seminario GAMA - UC3M
    2015
  • Classical orthogonal polynomials beyond the classical parameters
    Ponencia del Congreso - Seminario GAMA - UC3M
    2015
  • Segunda relación de estructura para q-polinomios clásicos y semiclásicos
    Ponencia del Congreso - Seminario GAMA - UC3M
    2015
  • Matrices totally positive relative to a tree
    Ponencia del Congreso - Seminario GAMA - UC3M
    2015
  • Método de Factorización de ecuaciones en diferencias de tipo hipergeométrico en redes no uniformes
    Ponencia del Congreso - Seminario GAMA - UC3M
    2015
  • Recent results on classical orthogonal polynomials
    Ponencia del Congreso - Seminario GAMA - UC3M
    2015
  • Orthogonality of q-polynomials for nonstandard parameters
    Ponencia del Congreso - Seminario GAMA - UC3M
    2015
  • An overview of Classical Orthogonal Polynomials
    Ponencia del Congreso - ACMD Seminar Series
    2014
  • Discovering Discrete Classical Polynomials: First Steps
    Ponencia del Congreso - ACMD Seminar Series
    2014
  • A connection between the legendre polynomials and the Riemann Zeta function. II
    Ponencia del Congreso - RSME-Congreso de Jovenes Investigadores 2013.
    2013
  • A connection between the Legendre polynomials and the Riemann Zeta function. I
    Ponencia del Congreso - Workshop on Special Functions and their Application
    2013
  • Multiple Meixner polynomials of second type with non-classical parameters. A first study.
    Ponencia del Congreso - 12th International symposium on Orthogonal Polynomial, Special Functions and Applica- tions
    2013
  • Los polinomios ortogonales clásicos y de Sobolev: viejos y nuevos resultados
    Ponencia del Congreso - Seminario Departamento de Matemáticas - Universidad de Alcalá
    2012
  • Old and new results on Sobolev and semi-classical orthogonal polynomials.
    Ponencia del Congreso - 11th International symposium on Orthogonal Polynomial, Special Functions and Applica- tions
    2011
  • On a degenerative version of the Favard’s theorem
    Ponencia del Congreso - International conference on Computational and Mathematical Methods in Science and Engineering 2010
    2010
  • Extensions of discrete classical orthogonal polynomials beyond the orthogonality.
    Ponencia del Congreso - 10th International symposium on Orthogonal Polynomial, Special Functions and Applica- tions
    2009
  • On the determinant of a sum of matrices.
    Ponencia del Congreso - RCTM’08 Conference in honor of Robert C. Thompson
    2008
  • The semiclassical-Sobolev polynomials. A general approach.
    Ponencia del Congreso - IWOPA’08 Conference in honor of Guillermo Lopez
    2008
  • Algunas propiedades algebraicas de la función Zeta de Riemann
    Ponencia del Congreso - Seminario Permanente de Actualización en Matemáticas
    2007
  • Classical orthogonal polynomials. A general difference calculus approach
    Ponencia del Congreso - Recent Trends in Constructive Approximation Theory
    2006
  • Limit relations between q-Krall type orthogonal polynomials
    Ponencia del Congreso - 9th European Workshop on Applications and Generalizations of Complex Analysis
    2006
  • Limit relations between q-Krall type orthogonal polynomials
    Ponencia del Congreso - Progress on Difference Equations 2006
    2006
  • Factorization of the hypergeometric-type difference equations on non-uniform lattices: dynamical algebra.
    Ponencia del Congreso - International Conference on Difference equations, Special Functions and Applications 2005
    2005
  • Number Theory, q-calculus. The zeta and q-zeta functions.
    Ponencia del Congreso - Summer School on Orthogonal and Special Functions.
    2004