Líneas de Investigación / Research areas:

Polinomios ortogonales, análisis de Fourier no trigonométrico, funciones especiales.

Publicaciones / Publications:

• A. Peña and M.L. Rezola, The inverse problem for linearly related orthogonal polynomials: General case. arXiv:1810.01691
• A. Peña and M.L. Rezola, Connection formulas for general discrete Sobolev polynomials: Mehler–Heine asymptotics. Applied Math. Comput. 261 (2015), 216-230.
• M. Alfaro, J.J. Moreno-Balcázar, A. Peña and M.L. Rezola, Asymptotic formulae for generalized Freud polynomials. J. Math. Anal. Appl. 421 (2015), 474-488.
• M. Alfaro, A. Peña, T.E. Pérez and M.L. Rezola, On linearly related orthogonal polynomials in several variables. Numer. Algor. 66 (3) (2014), 525-553.
• M. Alfaro, A. Peña, J. Petronilho and M.L. Rezola, Orthogonal polynomials generated by a linear structure relation: Inverse problem. J. Math. Anal. Appl. 401 (1) (2013), 182-197.
• A. Peña and M.L. Rezola, Discrete Laguerre-Sobolev expansions: A Cohen type inequality. J. Math. Anal. Appl. 385 (1) (2012), 254-263.
• M. Alfaro, F. Marcellán, A. Peña and M.L. Rezola, Orthogonal polynomials associated with an inverse quadratic spectral transform. Computers & Mathematics with Applications 61 (4) (2011), 888-901.
• M. Alfaro, J.J. Moreno-Balcázar, A. Peña and M.L. Rezola, A new approach to the asymptotics of Sobolev type orthogonal polynomials. J. Approx. Theory 163 (2011), 460-480.
• M. Alfaro, J.J. Moreno-Balcázar, A. Peña and M.L. Rezola, On Sobolev type orthogonal. polynomials with unbounded support: asymptotic properties. Monografías de la Real Academia de Ciencias de Zaragoza 33, 209-223 (2010).
• M. Alfaro, J.J. Moreno-Balcázar, A. Peña and M.L. Rezola, Asymptotics for a generalization of Hermite polynomials. Asymptotics Analysis 66 (2) (2010), 103-117.
• M. Alfaro, F. Marcellán, A. Peña and M.L. Rezola, When do linear combinations of orthogonal polynomials yield new sequences of orthogonal polynomials? J. Comput. Appl. Math. 233 (6) (2010), 1446-1452.
• M. Alfaro, A. Peña, M.L. Rezola, On linear combinations of orthogonal polynomials. Mathematical Physics and Field Theory. Julio Abad, in Memoriam, M. Asorey et al. Editors. Prensas Universitarias de Zaragoza, 45-51, 2009.
• M. Alfaro, J.J. Moreno-Balcázar, A. Peña, M.L. Rezola, Sobolev orthogonal polynomials: balance and asymptotics. Transactions of AMS 361 (2009), no. 1, 547-560.
• M. Alfaro, F. Marcellán, M.L. Rezola, In Memoriam. Professor José Javier Guadalupe. En Orthogonal Polynomials and Special Functions (Laredo's SIAG Lecture Notes). Nova Science Publ. R. Álvarez-Nodarse, F. Marcellán y W. Van Assche ed., 2004, 1-11.
• M. Alfaro, F. Marcellán, A. Peña, M. L. Rezola, On rational transformations of linear functionals: Direct problem. J. Math. Anal. Appl. 298 (2004), 171-183.
• M. Alfaro, F. Marcellán, A. Peña, M.L. Rezola, On linearly related orthogonal polynomials and their functional. J. Math. Anal. Appl. 287 (1) (2003), 307-319.
• M. Alfaro, J. J. Moreno-Balcázar, M.L. Rezola, Asymptotic properties of Laguerre-Sobolev orthogonal polynomials. J. Approx. Theory 122 (1) (2003), 79-96.
• M. Alfaro, M. Álvarez de Morales, M.L. Rezola, Orthogonality of the Jacobi polynomials with negative integer parameters. J. Comput. Appl. Math. 145 (2002), 379-386.
• M. Alfaro, M. L. Rezola, Ceros de polinomios ortogonales de Sobolev. Margarita Mathematica en memoria de José Javier (Chicho) Guadalupe Hernández, 569-576 (Luis Español y Juan L. Varona, editores). Servicio de Publicaciones, Universidad de La Rioja, Logroño, España, 2001. Prepublicación: seminario matemático García de Galdeano, número 27 (2001).
• M. Alfaro, J.J. Moreno-Balcázar, T.E. Pérez, M.A. Piñar, M.L. Rezola, Asymptotics of Sobolev orthogonal polynomials for Hermite coherent pairs. J. Comput. Appl. Math. 133 (2001), 141-150.
• M. Alfaro, T.E. Pérez, M.A. Piñar, M.L. Rezola, On symmetric differential operators associated with Sobolev orthogonal polynomials: a characterization. Acta Appl. Math. 61 (1-3) (2000), 3-14.
• M. Alfaro, T.E. Pérez, M.A. Piñar, M.L. Rezola, Sobolev orthogonal polynomials: the discrete-continuous case. Methods Appl. Anal. 6 (4) (1999), 593-616.
• M. Alfaro, A. Martínez-Finkelshtein, M.L. Rezola, Asymptotic properties of balanced extremal Sobolev polynomials: Coherent case. J. Approx. Theory 100 (1) (1999), 44-59.
• M. Alfaro, F. Marcellán, M.L. Rezola, Estimates for Jacobi-Sobolev type orthogonal polynomials. Applicable Analysis 67 (1997), 157-174.
• M. Alfaro, G. López, M.L. Rezola, Some properties of zeros of Sobolev-type orthogonal polynomials. J. Comput. Appl. Math. 69 (1) (1996), 171-179.
• M. Alfaro, F. Marcellán, M.L. Rezola, A. Ronveaux, Sobolev-type orthogonal polynomials: the nondiagonal case. J. Approx. Theory 83 (2) (1995), 266-287.
• M. Alfaro, F. Marcellán, H.G. Meijer, M.L. Rezola, Symmetric Orthogonal Polynomials for Sobolev-Type Inner Products. J. Math. Anal. Appl. 184 (1994), 360-381.
• M. Alfaro, F. Marcellán, M.L. Rezola, Orthogonal polynomials on Sobolev spaces: old and new directions. J. Comput. Appl. Math. 48 (1993), 113-131.
• M. Alfaro, F. Marcellán, M.L. Rezola, A. Ronveaux, On orthogonal polynomials of Sobolev type: Algebraic properties and zeros. SIAM J. Math. Anal. 23(3) (1992), 737-757.
• J. Bastero, Y. Raynaud, M.L. Rezola, An explicit expression for the K_r functionals of interpolation between L^p spaces. Publicacions Matemàtiques 35 (1991), 97-117.
• J.J. Guadalupe, M.L. Rezola, The conjugate function in plane curves. Canad. Math. Bull 31(2) (1988), 147-152.

Socia de / member of: Real Sociedad Matemática Española.

Último cambio / Last change: 2-OCT-2019