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J. Petronilho
J. Petronilho
Professor of Mathematics, University of Coimbra, Portugal
Verified email at mat.uc.pt
Title
Cited by
Cited by
Year
Classical orthogonal polynomials: a functional approach
F Marcellán, A Branquinho, J Petronilho
Acta Applicandae Mathematica 34, 283-303, 1994
1851994
Explicit inverses of some tridiagonal matrices
CM da Fonseca, J Petronilho
Linear Algebra and its Applications 325 (1), 7-21, 2001
1842001
Explicit inverse of a tridiagonal k− Toeplitz matrix
CM da Fonseca, J Petronilho
Numerische Mathematik 100 (3), 457-482, 2005
892005
Orthogonal polynomials and coherent pairs: the classical case
F Marcellán, J Petronilho
Indagationes Mathematicae 6 (3), 287-307, 1995
771995
Eigenproblems for tridiagonal 2-Toeplitz matrices and quadratic polynomial mappings
F Marcellán, J Petronilho
Linear algebra and its applications 260, 169-208, 1997
511997
On the linear functionals associated to linearly related sequences of orthogonal polynomials
J Petronilho
Journal of mathematical analysis and applications 315 (2), 379-393, 2006
472006
On the solution of some distributional differential equations: existence and characterizations of the classical moment functionals
F Marcellán, J Petronilho
Integral Transforms and Special Functions 2 (3), 185-218, 1994
421994
On orthogonal polynomials obtained via polynomial mappings
MN De Jesus, J Petronilho
Journal of Approximation Theory 162 (12), 2243-2277, 2010
372010
On linearly related sequences of derivatives of orthogonal polynomials
MN De Jesus, J Petronilho
Journal of mathematical analysis and applications 347 (2), 482-492, 2008
372008
On some tridiagonal k-Toeplitz matrices: Algebraic and analytical aspects. Applications
R Álvarez-Nodarse, J Petronilho, NR Quintero
Journal of computational and applied mathematics 184 (2), 518-537, 2005
372005
Generic formulas for the values at the singular points of some special monic classical Hq, ω-orthogonal polynomials
J Petronilho
Journal of computational and applied mathematics 205 (1), 314-324, 2007
352007
Orthogonal polynomials and cubic polynomial mappings. II. The positive-definite case
F Marcellán, J Petronilho
Communications in the Analytic Theory of Continued Fractions 9, 11-20, 2001
35*2001
Orthogonal polynomials and cubic polynomial mappings. I.
F Marcellán, J Petronilho
Communications in the Analytic Theory of Continued Fractions 8, 88-116, 2000
342000
(M, N)-coherent pairs of order (m, k) and Sobolev orthogonal polynomials
MN de Jesus, F Marcellán, J Petronilho, NC Pinzón-Cortés
Journal of Computational and Applied Mathematics 256, 16-35, 2014
332014
WKB approximation and Krall-type orthogonal polynomials
R Álvarez-Nodarse, F Marcellán, J Petronilho
Acta Applicandae Mathematica 54, 27-58, 1998
331998
Sobolev orthogonal polynomials and (M, N)-coherent pairs of measures
MN de Jesus, J Petronilho
Journal of Computational and Applied Mathematics 237, 83-101, 2013
312013
Orthogonal polynomials and quadratic transformations
F Marcellán, J Petronilho
Portugaliae Mathematica 56 (1), 81-114, 1999
281999
What is beyond coherent pairs of orthogonal polynomials?
F Marcellán, JC Petronilho, TE Pérez, MA Piñar
Journal of Computational and Applied Mathematics 65 (1-3), 267-277, 1995
251995
On the functional equation for classical orthogonal polynomials on lattices
K Castillo, D Mbouna, J Petronilho
Journal of Mathematical Analysis and Applications 515 (1), 126390, 2022
212022
Variations around Jackson’s quantum operator
JL Cardoso, J Petronilho
Methods and Applications of Analysis 22 (4), 343-358, 2015
182015
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