*The subpermanent of a sum of matrices (With C R Johnson)**Proof of an Extension of The Hankel Pencil Conjecture using Orthogonal Polynomials (With C R Johnson)**Irrationality proofs of Zeta(3), Zeta(5) and Zeta(7).**Countour integral representations for elliptic hypergeometric functions*(with H S Cohl)*On the linearization coefficients for continuous*(with H S Cohl)q -Jacobi and continuousq -ultraspherical polynomials*The top of semiclassical orthogonal polynomials: The $N$-Askey-Wilson polynomials**Semiclassical quasi-orthogonal polynomials. A general difference calculus approach*(with F Marcellan)*The orthogonality of the $q$-Laguerre for a general parameter*(with F Marcellan)*Generating functions of Classical polynomials satisfying Laguerre-type Second structure relation*(with J F Mañas-Mañas, J J Moreno-Balcazar)*Algebraic and orthogonality properties of some*(with M T Perez, M Piñar)*q*-analogs of the Laguerre polynomials for non classical parameters*On polynomials defined by a modified Rodrigues formula*(with F Marcellan)*Integral representations for a generalized Hermite linear functional*(with R. Sfaxi) | Submitted to Axioms, 2019 | [Arx]*Spectra of Tridiagonal Matrices over a Field*(with C R Johnson) | Submitted to Bulletin of the Iranian Mathematical Society, 2021 | [Arx]*Generalizations of generating functions for basic hypergeometric orthogonal polynomials*(with H S Cohl, P R Hwang

and T V Wakhare) | Submitted to , 2021*On polynomials orthogonal with respect to an inner product involving higher order differences. The Meixner case*

(With A Soria, J.-M. Vilaire) | Submitted to The Ramanujan Journal, 2020 | [Arx]*Classical exceptional orthogonal polynomials: a global overview*(With J S Kelly) | Submitted to ..., 2021 | Arx]- On the relation between Gegenbauer polynomials and the Ferrers function of the first kind

Howard S Cohl, R S Costas-Santos.**Analysis Mathematica**Accepted in 2021 - Utility of integral representations for basic hypergeometric functions and orthogonal polynomials

Howard S Cohl, R S Costas-Santos. Accepted in Ramanujan Journal (2021) | SPRINGER (NETHERLANDS) | ISSN: 1382-4090

JCR® 2020 Impact Factor: 0.837 - MATHEMATICS -- position: 202/330 (Q3/T2) | MR Zbl] [Arx] [GS?] BibTeX] - Multi-integral representations for associated Legendre and Ferrers functions (with H Cohl)

Symmetry**12**No. 10, 1598 (2020), 22 pages | MDPI (SWITZERLAND) | DOI: 10.3390/sym12101598

JCR® 2020 Impact Factor: 2.713 - MULTIDISCIPLINARY SCIENCES -- position: 33/73 (Q2/T2) | | MR] [Zbl] [Arx] [GS?] [BibTeX]@Article{cohcos, Author = {Howard S. Cohl and Roberto S. Costas-Santos}, Title = {Multi-integral representations for associated Legendre and Ferrers functions}, FJournal = {Symmetry}, Journal = {Symmetry}, ISSN = {2073-8994}, Volume = {12}, Number = {10}, Pages = {22}, Note = {Id/No 1598}, Year = {2020}, Publisher = {Multidisciplinary Digital Publishing Institute (MDPI), Basel}, Language = {English}, DOI = {10.3390/sym12101598}, MSC2010 = {33C45} }

- Terminating basic hypergeometric representations and transformations for the Askey-Wilson polynomials (with H Cohl and L Ge)

Symmetry**12**(8) (2020), 1290 | DOI: 10.3390/sym12081290

JCR® 2020 Impact Factor: 2.713 - MULTIDISCIPLINARY SCIENCES -- position: 33/73 (Q2/T2) | MR] [Zbl] [Arx] [GS?] [BibTeX]@Article{Cohletall2020, Author = {Cohl, Howard S. and Costas-Santos, Roberto S. and Ge, Linus}, Title = {Terminating basic hypergeometric representations and transformations for the Askey-Wilson polynomials}, FJournal = {Symmetry}, Journal = {Symmetry}, ISSN = {2073-8994}, Volume = {12}, Number = {8}, Pages = {14}, Note = {Id/No 1290}, Year = {2020}, Publisher = {Multidisciplinary Digital Publishing Institute (MDPI), Basel}, Language = {English}, DOI = {10.3390/sym12081290}, MSC2010 = {33D45}, Zbl = {1456.33013} }

- On a generalization of the Rogers generating function (with H Cohl and T V Wakhare)

J. Math. Anal. Appl.**475**(2019), no. 2, 1019--1043 | ACADEMIC PRESS INC ELSEVIER SCIENCE (USA) | ISSN: 0022-247X | DOI: 10.1016/j.jmaa.2019.01.068

JCR® 2019 Impact Factor: 1.220 - MATHEMATICS -- position: 77/325 (Q1/T1) | [MR] [Zbl] [Arx] [GS?] [BibTeX]@article {MR3944361, AUTHOR = {Cohl, Howard S. and Costas-Santos, Roberto S. and Wakhare, Tanay V.}, TITLE = {On a generalization of the {R}ogers generating function}, JOURNAL = {J. Math. Anal. Appl.}, FJOURNAL = {Journal of Mathematical Analysis and Applications}, VOLUME = {475}, YEAR = {2019}, NUMBER = {2}, PAGES = {1019--1043}, ISSN = {0022-247X}, MRCLASS = {33D05}, MRNUMBER = {3944361}, DOI = {10.1016/j.jmaa.2019.01.068}, URL = {https://doi.org/10.1016/j.jmaa.2019.01.068}, }

- Some generating functions for $q$-polynomials (with H Cohl and T V Wakhare)

Symmetry-Basel**10**(12), 758, 300--311 (2018) | MDPI (SWITZERLAND) | ISSN: 2073-8994 | DOI: 10.3390/sym10120758

JCR® 2018 Impact Factor: 2.143 - MULTIDISCIPLINARY SCIENCES -- position: 30/69 (Q2/T2) | MR] [Zbl] [Arx] [GS?] [BibTeX]@article {Cohletall2018, AUTHOR = {Cohl, Howard S., Costas-Santos, Roberto S. and Wakhare, Tanay}, TITLE = {Some generating functions for $q$-polynomials}, JOURNAL = {Symmetry}, FJOURNAL = {Symmetry}, VOLUME = {10}, YEAR = {2018}, NUMBER = {12}, PAGES = {758, 12 pages}, ISSN = {2073-8994}, DOI = {10.3390/sym10120758}, URL = {https://doi.org/10.3390/sym10120758}, }

- Analytic properties of some basic hypergeometric-Sobolev-type orthogonal polynomials (with A Soria-Lorente)

J. Difference Equ. Appl.**24**, no. 11 (2018), 1715--1733 | TAYLOR \& FRANCIS LTD (UK) | ISSN: 1023-6198 | DOI: 10.1080/10236198.2018.1517760

JCR® 2018 Impact Factor: 0.974 - APPLIED MATHEMATICS -- position: 149/254 (Q3/T2) | [MR] [Zbl] [Arx] [GS?] [BibTeX]@article {MR3883341, AUTHOR = {Costas-Santos, Roberto S. and Soria-Lorente, Anier}, TITLE = {Analytic properties of some basic hypergeometric-{S}obolev-type orthogonal polynomials}, JOURNAL = {J. Difference Equ. Appl.}, FJOURNAL = {Journal of Difference Equations and Applications}, VOLUME = {24}, YEAR = {2018}, NUMBER = {11}, PAGES = {1715--1733}, ISSN = {1023-6198}, MRCLASS = {33D45 (05A30 39A13)}, MRNUMBER = {3883341}, DOI = {10.1080/10236198.2018.1517760}, URL = {https://doi.org/10.1080/10236198.2018.1517760}, }

- The power collection method for connection relations: Meixner polynomials (with M A Baeder, H S Cohl and W Xu)

Journal of Classical Analysis**Volume 11**, Number 2 (2017), 107--128 | JCA (CROATIA) I ISSN: 1848-5987

DOI: 10.7153/jca-11-02 | [MR] [Zbl] [Arx] [GS?] [BibTeX]@article {MR3745468, AUTHOR = {Baeder, Michael A. and Cohl, Howard S. and Costas-Santos, Roberto S. and Xu, Wenqing}, TITLE = {The power collection method for connection relations: {M}eixner polynomials}, JOURNAL = {J. Class. Anal.}, FJOURNAL = {Journal of Classical Analysis}, VOLUME = {11}, YEAR = {2017}, NUMBER = {2}, PAGES = {107--128}, ISSN = {1848-5979}, MRCLASS = {33C45 (05A15 30C10 30E20 33C20)}, MRNUMBER = {3745468}, DOI = {10.7153/jca-2017-11-08}, URL = {https://doi.org/10.7153/jca-2017-11-08}, }

- The orthogonality of Al-Salam-Carlitz polynomials for complex parameters (with H Cohl and W Xu)

Frontiers in Orthogonal Polynomials and*q*-Series, Contemporary Mathematics and its Applications: Monographs, Expositions

and Lecture Notes, Eds. Zuhair Nashed and Xin Li, Vol.**1**, Chapter 8, 155--167, World Scientific Publishing Company,

Cambridge, MA, 2018. | ISSN-13: 9789813228870 | [MR] [Zbl] [Arx] [GS?] [BibTeX]@incollection {MR3791613, AUTHOR = {Cohl, Howard S. and Costas-Santos, Roberto S. and Xu, Wenqing}, TITLE = {The orthogonality of {A}l-{S}alam--{C}arlitz polynomials for complex parameters}, BOOKTITLE = {Frontiers in orthogonal polynomials and {$q$}-series}, SERIES = {Contemp. Math. Appl. Monogr. Expo. Lect. Notes}, VOLUME = {1}, PAGES = {155--167}, PUBLISHER = {World Sci. Publ., Hackensack, NJ}, YEAR = {2018}, MRCLASS = {33C47 (42C05)}, MRNUMBER = {3791613}, }

- Matrices Totally Positive Relative to a Tree, II

Costas-Santos, R. S. and Johnson, Charles R.**Linear Algebra and its Applications**505 (2016), 1 — 10 - Zeros of polynomials orthogonal with respect to a signed weight

Atia, M. J.; Benabdallah M. and Costas-Santos, R.S.**Indagationes Mathematicae. New Series**23 no. 1-2 (2012), 26 — 31 - The complementary polynomials and the Rodrigues operator of classical orthogonal polynomials

Costas-Santos, R. S. and Marcellan, F.**Proceedings of the American Mathematical Society**140, no. 10 (2012), 3485 — 3493 - Orthogonality of
*q*-polynomials for non-standard parameters

Costas-Santos, R. S. and Sanchez-Lara, J. F.**Journal of Approximation Theory**163, no. 9 (2011), 1246 —1268 - The Semiclassical-Sobolev orthogonal polynomials: A general approach

Costas-Santos, R. S. and Moreno Balcazar, J. J.**Journal of Approximation theory**163, no. 1 (2011), 65 — 83 *q*-Classical orthogonal polynomial: A general difference calculus approach

Costas-Santos, R. S.and Marcellan, F.**Acta Applicandae Mathematicae**111 (2010), 107 — 128- Extensions of discrete classical orthogonal polynomials beyond the orthogonality

Costas-Santos, R. S. and Sanchez-Lara, J. F.**Journal of Computational and Applied Mathematics**225, no. 2 (2009), 440 — 451 - On the elementary symmetric functions of a sum of matrices

Costas-Santos, R. S.**JP Journal of Algebra, Number Theory: Advances and Applications**1, No. 2 (2009), 99 — 112 - Matrices Totally Positive Relative to a Tree

Johnson, Charles R.; Costas-Santos, Roberto S. and Tadchiev, Boris**Electronic Journal of Linear Algebra**18 (2009), 211 — 221 - Second structure relation for
*q*-semiclassical polynomials of the Hahn Tableau

Marcellan, F. and Costas-Santos, R. S.**Journal of Mathematical Analysis and Applications**329, no. 1 (2007), 206 — 228 - Factorization of the hypergeometric-type difference equation on the uniform lattice

Álvarez-Nodarse, R.; Atakishiyev, N. M. and Costas-Santos, R. S.**Electronic Transactions on Numerical Analysis**27 (2007), 34 — 50 - A
*q*-analog of the Racah polynomials and*q*-algebra SU*q*(2) in quantum optics

Álvarez-Nodarse, R.; Costas-Santos, R. S. and Smirnov, Y. F.**Journal of Russian Laser Research**Volume 27, Number 1 (January 2006), 1 — 32 - Limit relations between
*q*-Krall type orthogonal polynomials

Álvarez-Nodarse, R. and Costas-Santos, R. S.**Journal of Mathematical Analysis and Applications**322, no. 1 (2006), 158 — 176 - Factorization of the hypergeometric-type difference equation on non-uniform lattices: dynamical algebra

Álvarez-Nodarse, R.; Atakishiyev, N. M. and Costas-Santos, R. S.**Journal of Physics A. Mathematical and General**38, no. 1 (2005), 153 — 174 - Principal minor sums of (A+tB)
^{m}

Johnson, C. R.; Leichenauer, S.; MacNamara, P. and Costas, R.**Linear Algebra and its Applications**411 (2005), 386 — 389 - Factorization method for difference equations of hypergeometric type on nonuniform lattices

Álvarez-Nodarse, R. and Costas-Santos, R. S.**Journal of Physics A: Mathematical and General**volume 34, no. 27 (2001), 5551 — 5569