Edit Profile (opens in new tab) Costas-Santos, Roberto S. Compute Distance To: Compute Author ID: costas-santos.roberto-s Published as: Costas-Santos, R. S.; Costas-Santos, Roberto S. Further Spellings: Costas-Santos, Roberto Santiago Homepage: http://www.rscosan.com External Links: MGP · ORCID · Google Scholar · ResearchGate · dblp Documents Indexed: 23 Publications since 2001 Reviewing Activity: 3 Reviews Co-Authors: 15 Co-Authors with 22 Joint Publications 583 Co-Co-Authors all top 5 Co-Authors 1 single-authored 8 Cohl, Howard Saul 4 Álvarez-Nodarse, Renato 3 Marcellán Español, Francisco 2 Atakishiev, Natig M. 2 Johnson, Charles Royal 2 Sánchez Lara, Joaquin F. 2 Wakhare, Tanay V. 2 Xu, Wenqing 1 Atia, Mohamed Jalel 1 Baeder, Michael A. 1 Benabdallah, Majed 1 Ge, Linus 1 Lorente, Anier Soria 1 Moreno-Balcázar, Juan José 1 Tadchiev, Boris all top 5 Serials 4 Journal of Mathematical Analysis and Applications 3 Symmetry 2 Journal of Approximation Theory 2 Journal of Physics A: Mathematical and General 1 Analysis Mathematica 1 Journal of Computational and Applied Mathematics 1 Proceedings of the American Mathematical Society 1 Acta Applicandae Mathematicae 1 Linear Algebra and its Applications 1 Indagationes Mathematicae. New Series 1 ETNA. Electronic Transactions on Numerical Analysis 1 Journal of Difference Equations and Applications 1 ELA. The Electronic Journal of Linear Algebra 1 Journal of Algebra, Number Theory: Advances and Applications 1 Journal of Classical Analysis all top 5 Fields 20 Special functions (33-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 4 Combinatorics (05-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Difference and functional equations (39-XX) 2 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Integral transforms, operational calculus (44-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 15 Publications have been cited 74 times in 64 Documents Cited by ▼ Year ▼ Second structure relation for \(q\)-semiclassical polynomials of the Hahn Tableau. Zbl 1113.33022Costas-Santos, R. S.; Marcellán, F. 21 2007 \(q\)-classical orthogonal polynomials: A general difference calculus approach. Zbl 1204.33011Costas-Santos, R. S.; Marcellán, F. 13 2010 Factorization of the hypergeometric-type difference equation on non-uniform lattices: dynamical algebra. Zbl 1079.33017Álvarez-Nodarse, R.; Atakishiyev, N. M.; Costas-Santos, R. S. 9 2005 Extensions of discrete classical orthogonal polynomials beyond the orthogonality. Zbl 1167.42008Costas-Santos, R. S.; Sánchez-Lara, J. F. 5 2009 The semiclassical Sobolev orthogonal polynomials: a general approach. Zbl 1215.33005Costas-Santos, R. S.; Moreno-Balcázar, J. J. 4 2011 Limit relations between \(q\)-Krall type orthogonal polynomials. Zbl 1096.33011Álvarez-Nodarse, R.; Costas-Santos, R. S. 4 2006 On a generalization of the Rogers generating function. Zbl 1461.33007Cohl, Howard S.; Costas-Santos, Roberto S.; Wakhare, Tanay V. 3 2019 Factorization of the hypergeometric-type difference equation on the uniform lattice. Zbl 1176.33008Álvarez-Nodarse, R.; Atakishiyev, N. M.; Costas-Santos, R. S. 3 2007 Factorization method for difference equations of hypergeometric type on nonuniform lattices. Zbl 0994.39001Álvarez-Nodarse, R.; Costas-Santos, R. S. 3 2001 Analytic properties of some basic hypergeometric-Sobolev-type orthogonal polynomials. Zbl 1405.33024Costas-Santos, Roberto S.; Soria-Lorente, Anier 2 2018 Multi-integral representations for associated Legendre and Ferrers functions. Zbl 1456.33009Cohl, Howard S.; Costas-Santos, Roberto S. 2 2020 Orthogonality of \(q\)-polynomials for non-standard parameters. Zbl 1229.33016Costas-Santos, R. S.; Sánchez-Lara, J. F. 2 2011 Matrices totally positive relative to a tree. Zbl 1171.15021Johnson, Charles R.; Costas-Santos, Roberto S.; Tadchiev, Boris 1 2009 On the elementary symmetric functions of a sum of matrices. Zbl 1275.15005Costas-Santos, R. S. 1 2009 Terminating basic hypergeometric representations and transformations for the Askey-Wilson polynomials. Zbl 1456.33013Cohl, Howard S.; Costas-Santos, Roberto S.; Ge, Linus 1 2020 Multi-integral representations for associated Legendre and Ferrers functions. Zbl 1456.33009Cohl, Howard S.; Costas-Santos, Roberto S. 2 2020 Terminating basic hypergeometric representations and transformations for the Askey-Wilson polynomials. Zbl 1456.33013Cohl, Howard S.; Costas-Santos, Roberto S.; Ge, Linus 1 2020 On a generalization of the Rogers generating function. Zbl 1461.33007Cohl, Howard S.; Costas-Santos, Roberto S.; Wakhare, Tanay V. 3 2019 Analytic properties of some basic hypergeometric-Sobolev-type orthogonal polynomials. Zbl 1405.33024Costas-Santos, Roberto S.; Soria-Lorente, Anier 2 2018 The semiclassical Sobolev orthogonal polynomials: a general approach. Zbl 1215.33005Costas-Santos, R. S.; Moreno-Balcázar, J. J. 4 2011 Orthogonality of \(q\)-polynomials for non-standard parameters. Zbl 1229.33016Costas-Santos, R. S.; Sánchez-Lara, J. F. 2 2011 \(q\)-classical orthogonal polynomials: A general difference calculus approach. Zbl 1204.33011Costas-Santos, R. S.; Marcellán, F. 13 2010 Extensions of discrete classical orthogonal polynomials beyond the orthogonality. Zbl 1167.42008Costas-Santos, R. S.; Sánchez-Lara, J. F. 5 2009 Matrices totally positive relative to a tree. Zbl 1171.15021Johnson, Charles R.; Costas-Santos, Roberto S.; Tadchiev, Boris 1 2009 On the elementary symmetric functions of a sum of matrices. Zbl 1275.15005Costas-Santos, R. S. 1 2009 Second structure relation for \(q\)-semiclassical polynomials of the Hahn Tableau. Zbl 1113.33022Costas-Santos, R. S.; Marcellán, F. 21 2007 Factorization of the hypergeometric-type difference equation on the uniform lattice. Zbl 1176.33008Álvarez-Nodarse, R.; Atakishiyev, N. M.; Costas-Santos, R. S. 3 2007 Limit relations between \(q\)-Krall type orthogonal polynomials. Zbl 1096.33011Álvarez-Nodarse, R.; Costas-Santos, R. S. 4 2006 Factorization of the hypergeometric-type difference equation on non-uniform lattices: dynamical algebra. Zbl 1079.33017Álvarez-Nodarse, R.; Atakishiyev, N. M.; Costas-Santos, R. S. 9 2005 Factorization method for difference equations of hypergeometric type on nonuniform lattices. Zbl 0994.39001Álvarez-Nodarse, R.; Costas-Santos, R. S. 3 2001 all cited Publications top 5 cited Publications all top 5 Cited by 90 Authors 8 Sitthiwirattham, Thanin 7 Álvarez-Nodarse, Renato 7 Costas-Santos, Roberto S. 6 Patanarapeelert, Nichaphat 4 Kenfack-Nangho, Maurice 4 Ntouyas, Sotiris K. 3 Area, Iván 3 Cohl, Howard Saul 3 Dobrogowska, Alina 3 Foupouagnigni, Mama 3 Jordaan, Kerstin 3 Mboutngam, Salifou 3 Moreno-Balcázar, Juan José 3 Tariboon, Jessada 2 Brikshavana, Tanapat 2 dos Santos Cardoso, José Luís 2 García-Caballero, Esther M. 2 Goliński, Tomasz 2 Marcellán Español, Francisco 2 Masjed-Jamei, Mohammad 2 Moreno, Samuel G. 2 Odzijewicz, Anatol 2 Rashid, Saima 2 Soleyman, Fatemeh 2 Sooppy Nisar, Kottakkaran 2 Verde-Star, Luis 2 Zagorodnyuk, Sergey Mihaylovich 1 Abo-Gabal, Howayda 1 Alaya, Atef 1 Aldwoah, Khaled A. 1 Annaby, Mahmoud H. 1 Asawasamrit, Suphawat 1 Ashraf, Rehana 1 Baeder, Michael A. 1 Băleanu, Dumitru I. 1 Ben Cheikh, Youssèf 1 Bera, Sudip 1 Chu, Yuming 1 das Neves Rebocho, Maria 1 Doha, Eid H. 1 Dumrongpokaphan, Thongchai 1 Durand, Loyal III 1 Filipuk, Galina V. 1 Galiffa, Daniel Joseph 1 Garza, Lino G. 1 Garza, Luis E. 1 Godoy, Eduardo Paciência 1 Hammouch, Zakia 1 Hamza, Alaa E. 1 Hendy, Ahmed S. 1 Islam, Mohammad Shafiqul 1 Jakimowicz, Grzegorz 1 Johnson, Charles Royal 1 Jooste, Alta S. 1 Khalid, Aasma 1 Khan, Khuram Ali 1 Kikomba Kahungu, Michael 1 Koepf, Wolfram A. 1 Lamblém, Regina Litz 1 Lamiri, Imed 1 MacQuarrie, Lucas 1 Malinowska, Agnieszka Barbara 1 Mañas-Mañas, Juan F. 1 Mukherjee, Sajal Kumar 1 Nieto Roig, Juan Jose 1 Nosheen, Ammara 1 Ong, Boon-Wee 1 Ouni, Abdelwaheb 1 Ozarslan, Mehmet Ali 1 Pérez, Teresa E. 1 Piñar, Miguel A. 1 Pinzón-Cortés, Natalia Camila 1 Rahman, Gauhar 1 Rains, Eric M. 1 Saad, Nasser 1 Saba, Anum 1 Sánchez Lara, Joaquin F. 1 Sitthiwiratthame, Thanin 1 Sri Ranga, Alagacone 1 Sriphanomwan, Umaphon 1 Sudprasert, Chayapat 1 Sutthasin, Bundit 1 Toókos, Ferenc 1 Torres, Delfim Fernando Marado 1 Varma, Serhan 1 Warnaar, S. Ole 1 Wattanakejorn, Varaporn 1 Xu, Wenqing 1 Yaşar, Banu Yılmaz 1 Zaky, Mahmoud A. all top 5 Cited in 34 Serials 8 Advances in Difference Equations 5 Journal of Approximation Theory 4 Journal of Computational and Applied Mathematics 4 Linear Algebra and its Applications 3 Journal of Mathematical Analysis and Applications 3 Applied Mathematics and Computation 3 Journal of Difference Equations and Applications 2 Journal of Optimization Theory and Applications 2 Proceedings of the American Mathematical Society 2 Applied Mathematics Letters 2 Discrete Dynamics in Nature and Society 2 Boundary Value Problems 2 Axioms 2 AIMS Mathematics 1 Analysis Mathematica 1 Applicable Analysis 1 Discrete Mathematics 1 Journal of Mathematical Physics 1 Ukrainian Mathematical Journal 1 Memoirs of the American Mathematical Society 1 Numerische Mathematik 1 Indagationes Mathematicae. New Series 1 Computational and Applied Mathematics 1 Filomat 1 Integral Transforms and Special Functions 1 The Ramanujan Journal 1 Journal of Inequalities and Applications 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Bulletin of Mathematical Analysis and Applications 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Analysis and Mathematical Physics 1 S\(\vec{\text{e}}\)MA Journal 1 Journal of Classical Analysis 1 Journal of Function Spaces all top 5 Cited in 18 Fields 40 Special functions (33-XX) 25 Difference and functional equations (39-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 11 Real functions (26-XX) 7 Combinatorics (05-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Ordinary differential equations (34-XX) 3 Quantum theory (81-XX) 2 Number theory (11-XX) 2 Operator theory (47-XX) 2 Numerical analysis (65-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year