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Research

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ROBERTO SANTIAGO COSTAS SANTOS

ROBERTO SANTIAGO COSTAS SANTOS

Category: Assistant Professor/Tenure Track
Area of knowledge: Applied Mathematics
ORCID iD: 0000-0002-9545-7411
Research Unit: Métodos de Investigación Cuantitativa y aplicaciones (MICA)
AACSB
Quantitative Methods

Publications

Roberto S. Costas Santos graduated with a degree in Mathematical Sciences at the University of Seville in 1998, where he specialized in Measure Theory and Commutative Algebra. He obtained his PhD from the School of Engineering of the Carlos III University of Madrid in 2007, where he worked on the orthogonal polynomials and special functions theory with a unanimous grade of Outstanding Cum Laude. In 2007 he received a Fulbright scholarship from the Ministry of Science and Technology of the Government of Spain to continue his scientific training in the United States, and was hired by the College of William and Mary to be a visiting professor for one year. From 2010 to 2021, he worked as an interim professor at the University of Alcalá. He is currently a professor in the Department of Quantitative Methods, attached to the Faculty of Business Sciences at Loyola Andalucía University. He speaks and writes English (C1). Professor Costas has positive accreditation as a private university professor, assistant professor, and contracted professor by ANECA. He also has two six-year periods of research granted by ANECA. He has also been a full-time member of various research projects at Carlos III University in Madrid and innovation projects at the University of Alcalá where his group received an award as an innovative group. The results of my research activity can be summarized in a total of 42 scientific publications (mostly indexed in the Journal Citation Reports). His main interests can be divided into two blocks: the first (and main), focuses on the deep knowledge of the basic hypergeometric functions and their relationship with the classical orthogonal polynomials, always trying to extend known results; the second is the study of the irrationality of certain real numbers, the knowledge of properties of elementary symmetric functions and their relationship with linear algebra. In 2025 he published/edited with his coauthor Howard Saul Cohl his first book about q-series, and hypergeometric series.Throughout his professional career, he has directed several TFGs related to primary education and applied mathematics, has been a member of 11 TFG defense panels, has been a reviewer for Mathematical Reviews (153 items), ZbMATH (45 items), and has been a referee on more than 150 occasions for international journals. Professor Costas has participated as well in more than 30 international conferences, where he has presented his work through lectures, and has given 29 seminars related to his two main areas of research. He is also a member of the American Mathematical Society and Real Sociedad Matemática Española.

Articles or Reviews

Publications
The Laguerre Constellation of Classical Orthogonal Polynomials
COSTAS SANTOS, ROBERTO SANTIAGO
01/01/2025
Article
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
01/12/2024
Article
On Polar Jacobi Polynomials
COSTAS SANTOS, ROBERTO SANTIAGO
01/09/2024
Article
LOCALIZATION OF ZEROS OF POLAR POLYNOMIALS ON THE UNIT DISK
COSTAS SANTOS, ROBERTO SANTIAGO, Rehouma, Abdelhamid
01/08/2024
Article
Multi-integral representations for Jacobi functions of the first and second kind
Cohl H.S. , COSTAS SANTOS, ROBERTO SANTIAGO
13/12/2023
Article
Integral Representations of a Generalized Linear Hermite Functional
COSTAS SANTOS, ROBERTO SANTIAGO
01/07/2023
Article
Nonterminating transformations and summations associated with some q-Mellin–Barnes integrals
Cohl H.S. , COSTAS SANTOS, ROBERTO SANTIAGO
01/06/2023
Article
Symmetry of terminating basic hypergeometric series representations of the Askey–Wilson polynomials
Cohl H.S. , COSTAS SANTOS, ROBERTO SANTIAGO
01/01/2023
Article
Generalizations of generating functions for basic hypergeometric orthogonal polynomials
Cohl, Howard S. , COSTAS SANTOS, ROBERTO SANTIAGO, Hwang, Philbert R. , Wakhare, Tanay V.
19/11/2022
Article

Conference Paper, Proceedings Paper, Conference Presentation or Abstract

Congresses
Orthogonality of the big -1 Jacobi polynomials for non-standard parameters
Cohl, H.S. , COSTAS SANTOS, ROBERTO SANTIAGO
01/01/2025
Conference Paper
Double summation addition theorems for Jacobi functions of the ?rst and second kind
Cohl, H.S. , COSTAS SANTOS, ROBERTO SANTIAGO, Durand, L. , Montoya, C. , Olafsson, G.
01/01/2025
Conference Paper
Special Values for the Continuous q-Jacobi Polynomials with Application to its Poisson Kernel
Cohl, Howard S. , COSTAS SANTOS, ROBERTO SANTIAGO, Cohl, HS , Vinet, L , Post, S , Savard, J
01/01/2025
Proceedings Paper
Multi-integral representations for Jacobi functions of the first and second kind
COSTAS SANTOS, ROBERTO SANTIAGO
15/07/2024 - 19/07/2024
Ponencia del Congreso
Sobolev orthogonal polynomials: connection formulas and zeros
COSTAS SANTOS, ROBERTO SANTIAGO
24/06/2024 - 28/06/2024
Ponencia del Congreso
Orthogonality of the big -1 Jacobi polynomials for non-standard parameters
Cohl, Howard S , COSTAS SANTOS, ROBERTO SANTIAGO
01/03/2023 - 03/03/2023
Ponencia del Congreso
Hypergeometric functions, difference equations and Wronskians.
COSTAS SANTOS, ROBERTO SANTIAGO
12/07/2022 - 17/07/2022
Ponencia del Congreso
Una sesión básica de Latex
COSTAS SANTOS, ROBERTO SANTIAGO
27/01/2022 - 27/01/2022
Ponencia del Congreso
Multi-integral representations for associated Legendre and Ferrers functions
Cohl, Howard S , COSTAS SANTOS, ROBERTO SANTIAGO
02/12/2021 - 07/12/2021
Ponencia del Congreso
A first study of Zeros of Classical Orthogonal Polynomial
COSTAS SANTOS, ROBERTO SANTIAGO
08/03/2018 - 08/03/2018
Ponencia del Congreso
Exceptional Orthogonal Polynomials from the Semi-classical point of view
COSTAS SANTOS, ROBERTO SANTIAGO
05/03/2015 - 05/03/2015
Ponencia del Congreso

Book chapters and books

Book chapters and books
Classical hypergeometric functions and generalizations
01/01/2025
Libro Completo
Applications and q-Extensions of Hypergeometric Functions
01/01/2025
Libro Completo
Double summation addition theorems for Jacobi functions of the first and second kind
01/01/2025
Capítulo de un Libro

External research projects

External Projects
Contrato de trabajo de duración determinada. Convocatoria de ayudas de la investigación posdoctoral del Ministerio de Educación y Ciencia.
Project start date: 30/04/2008