Books

 

  1. “Complex Methods in Approximation Theory”, Editors: A. Martínez Finkelshtein, F. Marcellán, J. J. Moreno Balcázar, Servicio de Publicaciones de la Universidad de Almería, 1997, ISBN. 84-8240-046-0.

 

  1. “Propiedades analíticas de los polinomios ortogonales de Sobolev”, J.J. Moreno Balcázar, 1997, ISBN. 84-8498-825-2.

 

  1. “Métodos Numéricos: Aproximación en R”,  A. Martínez Finkelshtein, J.J. Moreno Balcázar,  Servicio de Publicaciones Universidad de Almería, 1999, ISBN. 84-8240-259-5.

 

  1. “I Jornada del Profesorado de Matemáticas de Almería”, Editors: E. de Amo Artero, J.J. Moreno Balcázar, F. Reche Lorite, Editorial Universidad de Almería, 2010, ISBN 84-693-6438-3.

 

  1. “Una introducción a las ecuaciones diferenciales y a los métodos numéricos con Matlab para Ingeniería”, A. S. Andújar Rodríguez, J.J. Moreno Balcázar, Sistemas de Oficina de Almería, SA (145 SIS), 2010,  978-84-96918-38-2.

 

Research articles and book chapters

 

 

  1.  “Varying Sobolev type orthogonal polynomials: the Laguerre case”, L. Castaño-García, J.J. Moreno-Balcázar, submitted.

 

  1. “Jacobi-Sobolev orthogonal polynomials: asymptotics and Fourier expansions”, B. Xh. Fejzullahu, F. Marcellán, J.J. Moreno-Balcázar, submitted.

 

  1. “Zeros of varying Laguerre--Krall orthogonal polynomials”, L. Castaño-García, J.J. Moreno-Balcázar, Proceedings of the American Mathematical Society, accepted.

 

  1. “Varying Jacobi-Krall orthogonal polynomials: local asymptotic behaviour and zeros”, J.J. Moreno-Balcázar, The Ramanujan Journal, accepted.

 

  1. “Contributions to the theory of Sobolev orthogonal polynomials”, J.J. Moreno-Balcázar, Book “Select works of Francisco J. Marcellán Español”, pp. 55-70, Universidad Carlos III de Madrid, 2012.

 

  1. “A new approach to the asymptotics  for Sobolev  orthogonal polynomials”, M. Alfaro, J.J. Moreno-Balcázar, A. Peña, M.L. Rezola, Journal of Approximation Theory, 163, 460-480, 2011..

 

  1. “A generating function for  nonstandard orthogonal polynomials involving differences: the Meixner case”, J.J. Moreno-Balcázar, T.E. Pérez, M.A. Piñar, The Ramanujan Journal, 25, 21-35, 2011.

 

  1. “The semiclassical-Sobolev orthogonal polynomials: a general approach”, R.S. Costas-Santos, J.J. Moreno-Balcázar, Journal of Approximation Theory, 163(1), 65-83, 2011.

 

  1. “On Sobolev type orthogonal polynomial with unbounded support: asymptotic properties”, M. Alfaro, J.J. Moreno-Balcázar, A. Peña, M.L. Rezola, Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, 33, 209-223, 2010.

 

  1. “Asymptotics for Jacobi-Sobolev orthogonal polynomials associated with non-coherent pairs of measures”, E.X.L. de Andrade, C.F. Bracciali, L. Castaño-García, J.J. Moreno-Balcázar, Journal of Approximation Theory, 162(11), 1945-1963,  2010.

 

  1. “Some asymptotics for Sobolev orthogonal polynomials involving Gegenbauer weights”, C. F. Bracciali, L. Castaño-García, J.J. Moreno-Balcázar, Journal of Computational and Applied Mathematics, 235(4), 904-915, 2010.

 

  1. “Asymptotics for a generalization of Hermite polynomials”, M. Alfaro, J.J. Moreno-Balcázar, A. Peña, M.L. Rezola, Asymptotic Analysis, 66, 103-117, 2010.

 

  1. “Sobolev orthogonal polynomials: balance and asymptotics”, M. Alfaro, J.J. Moreno-Balcázar, A. Peña, M.L. Rezola, Transactions of the American Mathematical Society, 361, 547-560, 2009.

 

  1. “Mujeres matemáticas en las universidades andaluzas: 2001-2003, II”, J.J. Moreno-Balcázar, Matematicalia 4(4), 2008.

 

  1.  “Mujeres matemáticas en las universidades andaluzas: 2001-2003, I”, J.J. Moreno-Balcázar, Matematicalia 4(3), 2008.

 

  1. “Asymptotics and zeros of symmetrically coherent pairs of Hermite type”, M.G. de Bruin, W.G.M. Groenevelt,  F. Marcellán,  H.G. Meijer, J.J. Moreno-Balcázar, Difference Equations, Special Functions and Orthogonal Polynomials (Proceedings of the International Conference Munich), 378-393, 2007.

 

  1. “A note on the zeros of Freud-Sobolev orthogonal polynomials” , J.J. Moreno-Balcázar, Journal of Computational and Applied Mathematics, 207(2), 338-344, 2007.

 

  1. “Asymptotics and zeros of Sobolev orthogonal polynomials on unbounded supports”, F. Marcellán, J.J. Moreno-Balcázar, Acta Applicandae Mathematicae, 94(2), 163-192, 2006.

 

  1. “Smallest zeros of some types of orthogonal polynomials: asymptotics”, J.J. Moreno-Balcázar, Journal of Computational and Applied Mathematics, 179, 289-301, 2005.

 

  1. “D-Sobolev orthogonal polynomials of Meixner type: asymptotics and limit relation”, I. Area, E. Godoy, F. Marcellán, J.J. Moreno-Balcázar, Journal of Computational and Applied Mathematics,178, 21-36, 2005.

 

  1. “La investigación de las mujeres matemáticas en Andalucía en los albores del siglo XXI: 2001-2003”, María del Mar Campos Pérez, Juan J. Moreno Balcázar , Ana Belén Rubio García, La Gaceta de la Real Sociedad Matemática Española, 7(3), 679-690, 2004.

 

  1. “Asymptotic properties of generalized Laguerre orthogonal polynomials”, R. Álvarez-Nodarse, J.J. Moreno-Balcázar, Indagationes Mathematicae, 15(2), 151-165, 2004.

 

  1. “On Asymptotic properties of Freud--Sobolev orthogonal polynomials”, A. Cachafeiro, F. Marcellán, J.J. Moreno-Balcázar, Journal of Approximation Theory, 125(1), 26-41, 2003.

 

  1. “Laguerre-Sobolev orthogonal polynomials: asymptotics for coherent pairs of type II”, M. Alfaro, J.J. Moreno-Balcázar, M.L. Rezola,  Journal of Approximation Theory, 122(1), 79-96, 2003.

 

  1. “A Mehler-Heine type formula for Hermite-Sobolev orthogonal polynomials”, L. Castaño-García, J.J. Moreno Balcázar, Journal of Computational and Applied Mathematics,   150(1),  25-35, 2003.

 

  1. “Strong and Plancherel-Rotach asymptotics of non-diagonal Laguerre-Sobolev orthogonal polynomials”, F. Marcellán,  J.J. Moreno Balcázar, Journal of Approximation Theory, 110(1), 54-73, 2001.

 

  1. “Asymptotics of Sobolev orthogonal polynomials for Hermite coherent pairs", M. Alfaro,  J.J. Moreno Balcázar, T. E. Pérez, M.A. Piñar, M.L. Rezola, Journal of Computational and Applied Mathematics , 133(1-2), 141-150, 2001.

 

  1. “k-coherence of measures with non-classical weights”, F. Marcellán, A. Martínez Finkelshtein, J.J. Moreno Balcázar, Margarita Mathematica en honor de José Javier Guadalupe Hernández, Chicho; Servicio de Publicaciones Universidad de La Rioja, 77-83, 2001. M

 

  1. “Non-diagonal Hermite-Sobolev orthogonal polynomials”, M. Alvarez de Morales, J. J. Moreno Balcázar, T.E. Pérez, M.A. Piñar,  Acta Applicandae Mathematicae, 61(1/3), 257-266, 2000.

 

  1. “Inner products involving q-differences: the little q-Laguerre-Sobolev polynomials”, I. Area, E.Godoy, F. Marcellán,  J.J. Moreno Balcázar, Journal of Computational and Applied Mathematics,  118, 1-22, 2000.

 

  1. “Ratio and Plancherel-Rotach asymptotics for Meixner-Sobolev orthogonal polynomials”, I. Area, E.Godoy, F. Marcellán,  J.J., Moreno Balcázar, Journal of Computational and Applied Mathematics, 116, 63-75, 2000.

 

  1. “Analytic properties of non diagonal Jacobi-Sobolev orthogonal polynomials”, J.J. Moreno Balcázar, A. Martínez Finkelshtein, Journal of Computational and Applied Mathematics, 105(1-2),  343-401, 1999.

 

  1. “Asymptotics of Sobolev orthogonal polynomials for coherent pairs of measures”, A. Martínez Finkelshtein, J.J. Moreno Balcázar, T.E Pérez, M.A. Piñar, Journal of Approximation Theory, 92,  280-293, 1998.

 

  1. “Teaching polynomial fitting to a set of data via orthogonal polynomials”, J.J. Moreno Balcázar, F. Reche Lorite, International Journal of Mathematical Education in Science and Technology, 29(4), 481-488, 1998.

 

  1. “Asymptotics of Sobolev orthogonal polynomials for a Jacobi weight”, A. Martínez Finkelshtein, J.J. Moreno Balcázar, Methods and Applications of Analysis, 4(4), 430-437, 1997.

 

  1. “Asymptotics of Sobolev orthogonal polynomials for symmetrically coherent pairs of measures with compact support”, F. Marcellán, A. Martínez Finkelshtein, J.J. Moreno Balcázar, Journal of Computational and Applied Mathematics, 81, 217-227, 1997.

 

  1. “Strong asymptotics for Gegenbauer-Sobolev orthogonal polynomials”, A. Martínez Finkelshtein, J.J. Moreno Balcázar, H. Pijeira Cabrera, Journal of Computational and Applied Mathematics, 81, 211-216, 1997.

 

  1. “Asymptotics for Gegenbauer-Sobolev type polynomials”,  A. Martínez Finkelshtein, J.J. Moreno Balcázar, H. Pijeira Cabrera, in Complex Methods in Approximation Theory, 85-92, 1997.

 

 

 

Proceedings of conferences

 

1.      Laura Castaño-García, Juan J. Moreno-Balcázar, “Varying Laguerre-Sobolev-type orthogonal polynomials: a first approach”, Proceedings of the 11th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2011) (ISBN 978-84-614-6167-7), 296-301, 2011.

 

2.      Laura Castaño-García, Juan J. Moreno-Balcázar, “Mehler-Heine type formulas for some Sobolev ortogonal polynomials”, Proceedings of the 10th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2010) (ISBN 978-84-613-5510-5), 333-341, 2010.

 

3.      A. Pulido Bosch, J.M. Calaforra, L. Molina, F. Sánchez Martos, A. Vallejos, J. Gisbert, M.L. Calvache, M. López Chicano, W. Martín Rosales, J.J. Moreno Balcázar, B. Van Wesemael, L. Daniele , M.A. Díaz Puga, “Caracterización hidrogeológica de acuíferos kársticos en regiones semiáridas. El caso del macrosistema Turón-Sierra de Gádor”, GeoTema 10 (actas del VII Congreso Geológico de España, ISSN 1567-5172), 1581-1584, 2008.

 

4.      J.J. Moreno-Balcázar, “Algunos resultados recientes en polinomios ortogonales de Sobolev”, Actas de XX Congreso de Ecuaciones Diferenciales y Aplicaciones, X Congreso de Matemática Aplicada (CEDYA2007), (ISBN 978-84-690-7182-3), 1-7, 2007.

 

5.      J.J. Moreno-Balcázar,  “Asintótica de polinomios ortogonales de Sobolev continuos: caso no acotado”, Actas del Encuentro de Matemáticos Andaluces, (ISBN 8447202909), 663-670, 2001.

 

6.      J.J. Moreno-Balcázar, F.Reche-Lorite, “Polinomios Ortogonales y curvas polinómicas de regresión”, Actas de las VII Jornadas Andaluzas de Educación Matemática, Serv. de  Publicaciones Universidad de Córdoba, Actas Nº. 25, 633-640, 1996.