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Petronilho, José C.

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Author ID: petronilho.jose-c Recent zbMATH articles by "Petronilho, José C."
Published as: Petronilho, J.; Petronilho, José C.
External Links: MGP
Documents Indexed: 35 Publications since 1993

Publications by Year

Citations contained in zbMATH

32 Publications have been cited 374 times in 239 Documents Cited by Year
Classical orthogonal polynomials: A functional approach. Zbl 0793.33009
Marcellán, F.; Branquinho, A.; Petronilho, J.
72
1994
Explicit inverses of some tridiagonal matrices. Zbl 0983.15007
da Fonseca, C. M.; Petronilho, J.
42
2001
Explicit inverse of a tridiagonal \(k\)-Toeplitz matrix. Zbl 1076.15011
da Fonseca, C. M.; Petronilho, J.
31
2005
Orthogonal polynomials and coherent pairs: The classical case. Zbl 0843.42010
Marcellán, F.; Petronilho, J.
28
1995
Eigenproblems for tridiagonal 2-Toeplitz matrices and quadratic polynomial mappings. Zbl 0877.15010
Marcellán, F.; Petronilho, J.
25
1997
On orthogonal polynomials obtained via polynomial mappings. Zbl 1209.42018
de Jesus, M. N.; Petronilho, J.
18
2010
On the solution of some distributional differential equations: Existence and characterizations of the classical moment functionals. Zbl 0832.33006
Marcellán, F.; Petronilho, J.
17
1994
On linearly related sequences of derivatives of orthogonal polynomials. Zbl 1160.42011
de Jesus, M. N.; Petronilho, J.
13
2008
On the linear functionals associated to linearly related sequences of orthogonal polynomials. Zbl 1084.42020
Petronilho, J.
12
2006
On some tridiagonal \(k\)-Toeplitz matrices: Algebraic and analytical aspects. applications. Zbl 1078.15008
Álvarez-Nodarse, R.; Petronilho, J.; Quintero, N. R.
12
2005
Generic formulas for the values at the singular points of some special monic classical \(H_{q,\omega }\)-orthogonal polynomials. Zbl 1119.33010
Petronilho, J.
11
2007
WKB approximation and Krall-type orthogonal polynomials. Zbl 0913.33002
Álvarez-Nodarse, R.; Marcellán, F.; Petronilho, J.
11
1998
What is beyond coherent pairs of orthogonal polynomials? Zbl 0855.42016
Marcellán, Francisco; Petronilho, José C.; Pérez, Teresa E.; Piñar, Miguel A.
10
1995
\((M,N)\)-coherent pairs of order \((m,n)\) and Sobolev orthogonal polynomials. Zbl 1321.33015
de Jesus, M. N.; Marcellán, F.; Petronilho, J.; Pinzón-Cortés, N. C.
9
2014
Orthogonal polynomials and quadratic transformations. Zbl 0936.42012
Marcellán, F.; Petronilho, J.
9
1999
Sobolev orthogonal polynomials and \((M,N)\)-coherent pairs of measures. Zbl 1258.42024
De Jesus, M. N.; Petronilho, J.
7
2013
Variations around Jackson’s quantum operator. Zbl 1339.33023
Cardoso, J. L.; Petronilho, J.
6
2015
Orthogonal polynomials on the unit circle via a polynomial mapping on the real line. Zbl 1225.42019
Petronilho, J.
6
2008
On inverse problems for orthogonal polynomials. I. Zbl 0807.42017
Marcellán, F.; Branquinho, A.; Petronilho, J.
6
1993
On the Krall-type discrete polynomials. Zbl 1051.33006
Álvarez-Nodarse, R.; Petronilho, J.
5
2004
Generalized Fibonacci sequences via orthogonal polynomials. Zbl 1271.11019
Petronilho, J.
4
2012
Refined interlacing properties for zeros of paraorthogonal polynomials on the unit circle. Zbl 1391.15064
Castillo, K.; Petronilho, J.
3
2018
On semiclassical orthogonal polynomials via polynomial mappings. Zbl 1370.33014
Castillo, K.; de Jesus, M. N.; Petronilho, J.
3
2017
Orthogonal polynomials generated by a linear structure relation: inverse problem. Zbl 1264.33011
Alfaro, M.; Peña, A.; Petronilho, J.; Rezola, M. L.
3
2013
Path polynomials of a circuit: A constructive approach. Zbl 0926.05025
da Fonseca, C. M.; Petronilho, J.
3
1998
On linearly related sequences of difference derivatives of discrete orthogonal polynomials. Zbl 1312.33021
Álvarez-Nodarse, R.; Petronilho, J.; Pinzón-Cortés, N. C.; Sevinik-Adıgüzel, R.
2
2015
An electrostatic interpretation of the zeros of sieved ultraspherical polynomials. Zbl 1443.33030
Castillo, K.; de Jesus, M. N.; Petronilho, J.
1
2020
Spectral properties of certain tridiagonal matrices. Zbl 1232.15007
Álvarez-Nodarse, R.; Petronilho, J.; Quintero, N. R.
1
2012
Spectra of certain Jacobi operators. Zbl 1229.47046
de Jesus, M. N.; Petronilho, J.
1
2011
A note on the spectra of tridiagonal matrices. Zbl 1073.15008
da Fonseca, C. M.; Petronilho, J.
1
2004
Orthogonal polynomials and polynomial mappings on the unit circle. Zbl 0991.42015
Marcellán, F.; Petronilho, J.
1
1999
On some polynomial mappings for measures. Applications. Zbl 0934.33015
Alvarez-Nodarse, R.; Marcellán, F.; Petronilho, J.
1
1997
An electrostatic interpretation of the zeros of sieved ultraspherical polynomials. Zbl 1443.33030
Castillo, K.; de Jesus, M. N.; Petronilho, J.
1
2020
Refined interlacing properties for zeros of paraorthogonal polynomials on the unit circle. Zbl 1391.15064
Castillo, K.; Petronilho, J.
3
2018
On semiclassical orthogonal polynomials via polynomial mappings. Zbl 1370.33014
Castillo, K.; de Jesus, M. N.; Petronilho, J.
3
2017
Variations around Jackson’s quantum operator. Zbl 1339.33023
Cardoso, J. L.; Petronilho, J.
6
2015
On linearly related sequences of difference derivatives of discrete orthogonal polynomials. Zbl 1312.33021
Álvarez-Nodarse, R.; Petronilho, J.; Pinzón-Cortés, N. C.; Sevinik-Adıgüzel, R.
2
2015
\((M,N)\)-coherent pairs of order \((m,n)\) and Sobolev orthogonal polynomials. Zbl 1321.33015
de Jesus, M. N.; Marcellán, F.; Petronilho, J.; Pinzón-Cortés, N. C.
9
2014
Sobolev orthogonal polynomials and \((M,N)\)-coherent pairs of measures. Zbl 1258.42024
De Jesus, M. N.; Petronilho, J.
7
2013
Orthogonal polynomials generated by a linear structure relation: inverse problem. Zbl 1264.33011
Alfaro, M.; Peña, A.; Petronilho, J.; Rezola, M. L.
3
2013
Generalized Fibonacci sequences via orthogonal polynomials. Zbl 1271.11019
Petronilho, J.
4
2012
Spectral properties of certain tridiagonal matrices. Zbl 1232.15007
Álvarez-Nodarse, R.; Petronilho, J.; Quintero, N. R.
1
2012
Spectra of certain Jacobi operators. Zbl 1229.47046
de Jesus, M. N.; Petronilho, J.
1
2011
On orthogonal polynomials obtained via polynomial mappings. Zbl 1209.42018
de Jesus, M. N.; Petronilho, J.
18
2010
On linearly related sequences of derivatives of orthogonal polynomials. Zbl 1160.42011
de Jesus, M. N.; Petronilho, J.
13
2008
Orthogonal polynomials on the unit circle via a polynomial mapping on the real line. Zbl 1225.42019
Petronilho, J.
6
2008
Generic formulas for the values at the singular points of some special monic classical \(H_{q,\omega }\)-orthogonal polynomials. Zbl 1119.33010
Petronilho, J.
11
2007
On the linear functionals associated to linearly related sequences of orthogonal polynomials. Zbl 1084.42020
Petronilho, J.
12
2006
Explicit inverse of a tridiagonal \(k\)-Toeplitz matrix. Zbl 1076.15011
da Fonseca, C. M.; Petronilho, J.
31
2005
On some tridiagonal \(k\)-Toeplitz matrices: Algebraic and analytical aspects. applications. Zbl 1078.15008
Álvarez-Nodarse, R.; Petronilho, J.; Quintero, N. R.
12
2005
On the Krall-type discrete polynomials. Zbl 1051.33006
Álvarez-Nodarse, R.; Petronilho, J.
5
2004
A note on the spectra of tridiagonal matrices. Zbl 1073.15008
da Fonseca, C. M.; Petronilho, J.
1
2004
Explicit inverses of some tridiagonal matrices. Zbl 0983.15007
da Fonseca, C. M.; Petronilho, J.
42
2001
Orthogonal polynomials and quadratic transformations. Zbl 0936.42012
Marcellán, F.; Petronilho, J.
9
1999
Orthogonal polynomials and polynomial mappings on the unit circle. Zbl 0991.42015
Marcellán, F.; Petronilho, J.
1
1999
WKB approximation and Krall-type orthogonal polynomials. Zbl 0913.33002
Álvarez-Nodarse, R.; Marcellán, F.; Petronilho, J.
11
1998
Path polynomials of a circuit: A constructive approach. Zbl 0926.05025
da Fonseca, C. M.; Petronilho, J.
3
1998
Eigenproblems for tridiagonal 2-Toeplitz matrices and quadratic polynomial mappings. Zbl 0877.15010
Marcellán, F.; Petronilho, J.
25
1997
On some polynomial mappings for measures. Applications. Zbl 0934.33015
Alvarez-Nodarse, R.; Marcellán, F.; Petronilho, J.
1
1997
Orthogonal polynomials and coherent pairs: The classical case. Zbl 0843.42010
Marcellán, F.; Petronilho, J.
28
1995
What is beyond coherent pairs of orthogonal polynomials? Zbl 0855.42016
Marcellán, Francisco; Petronilho, José C.; Pérez, Teresa E.; Piñar, Miguel A.
10
1995
Classical orthogonal polynomials: A functional approach. Zbl 0793.33009
Marcellán, F.; Branquinho, A.; Petronilho, J.
72
1994
On the solution of some distributional differential equations: Existence and characterizations of the classical moment functionals. Zbl 0832.33006
Marcellán, F.; Petronilho, J.
17
1994
On inverse problems for orthogonal polynomials. I. Zbl 0807.42017
Marcellán, F.; Branquinho, A.; Petronilho, J.
6
1993
all top 5

Cited by 264 Authors

62 Marcellán Español, Francisco
22 Petronilho, José C.
17 Álvarez-Nodarse, Renato
11 Pérez, Teresa E.
11 Piñar, Miguel A.
10 Castillo, Kenier
10 da Fonseca, Carlos Martins
10 Godoy, Eduardo Paciência
9 Area, Iván
7 Kwon, Kil Hyun
6 de Jesus, M. N.
6 Dueñas, Herbert
6 Garza, Luis E.
6 Huertas Cejudo, Edmundo José
6 Pinzón-Cortés, Natalia Camila
5 Alfaro García, Manuel
5 Branquinho, Amílcar José Pinto Lopes
5 Encinas, Andrés M.
5 Fernández, Lidia
5 Jiang, Zhaolin
5 Zarzo, Alejandro
4 Arvesú, Jorge
4 Jiang, Xiaoyu
4 Jiménez, María José
4 Martínez-Finkelshtein, Andrei
4 Moreno-Balcázar, Juan José
4 Peña, Ana
4 Rezola, María Luisa
4 Sfaxi, Ridha
4 Sri Ranga, Alagacone
3 Allahverdiev, Bilender Paşaoğlu
3 Andelić, Milica
3 Aptekarev, Alexander Ivanovich
3 Bouras, Belgacem
3 Costas-Santos, Roberto S.
3 Foupouagnigni, Mama
3 Hamza, Alaa E.
3 Marriaga, Misael E.
3 Mboutngam, Salifou
3 Medem, J. C.
3 Ronveaux, André
3 Salto, L.
3 Sevinik-Adıgüzel, R.
3 Tuna, Hüseyin
2 Abdelkhaliq, Marwa M.
2 Adıgüzel, Rezan Sevinik
2 Aloui, Baghdadi
2 Carmona, Ángeles
2 dos Santos Cardoso, José Luís
2 Elouafi, Mohamed
2 Encinas, Andres Marcos
2 Fejzullahu, Bujar Xh.
2 Fu, Yaru
2 Garza, Lino G.
2 Huang, Ting-Zhu
2 Ihsen Tounsi, M.
2 Jhang, Seongtae
2 Kenfack-Nangho, Maurice
2 Kilic, Emrah
2 Koepf, Wolfram A.
2 Lamblém, Regina Litz
2 Lee, Jong-Kyup
2 Lewanowicz, Stanisław
2 Malinowska, Agnieszka Barbara
2 Maroni, Pascal
2 Martins, Natália F.
2 Matsubayashi, Nobuo
2 Mbouna, D.
2 Meijer, Henk G.
2 Mesquita, Teresa A.
2 Mitjana, Margarida
2 Oste, Roy
2 Quintero, Niurka R.
2 Rafaeli, Fernando Rodrigo
2 Ran, Ruisheng
2 Ranga, A. Sri
2 Rebocho, M. N.
2 Saib, Abdessadek
2 Sghaier, Mabrouk
2 Simanek, Brian Z.
2 Torres, Delfim Fernando Marado
2 Van der Jeugt, Joris
2 Varma, Serhan
2 Vinet, Luc
2 Xu, Yuan
2 Yilmaz, Fatih
2 Zhedanov, Alexei S.
1 Abderramán Marrero, Jesús
1 Abdoulkary, Saïdou
1 Abreu, Luís Daniel
1 Akbulak, Mehmet
1 Al-Henawy, A. Sh.
1 Alberto, José
1 Aldwoah, Khaled A.
1 Álvarez de Morales, María
1 Annaby, Mahmoud H.
1 Arab, Meysam
1 Atia, Mohamed Jalel
1 Atlan, Faiz
1 Ben Salah, Imene
...and 164 more Authors
all top 5

Cited in 74 Serials

33 Journal of Computational and Applied Mathematics
24 Applied Mathematics and Computation
19 Integral Transforms and Special Functions
15 Linear Algebra and its Applications
14 Journal of Mathematical Analysis and Applications
13 Journal of Difference Equations and Applications
11 Journal of Approximation Theory
6 Indagationes Mathematicae. New Series
5 Proceedings of the American Mathematical Society
5 Numerical Algorithms
4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
4 Special Matrices
3 Computers & Mathematics with Applications
3 Transactions of the American Mathematical Society
3 Mediterranean Journal of Mathematics
3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
3 Journal of Applied Analysis and Computation
2 Linear and Multilinear Algebra
2 Advances in Mathematics
2 International Journal of Mathematics and Mathematical Sciences
2 Journal of Optimization Theory and Applications
2 Acta Applicandae Mathematicae
2 Applied Mathematics Letters
2 Expositiones Mathematicae
2 Advances in Difference Equations
1 Analysis Mathematica
1 Discrete Applied Mathematics
1 Discrete Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 Journal of the Franklin Institute
1 Journal of Mathematical Physics
1 Journal of the Mechanics and Physics of Solids
1 Rocky Mountain Journal of Mathematics
1 Wave Motion
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 BIT
1 Journal of Combinatorial Theory. Series A
1 Le Matematiche
1 Mathematische Nachrichten
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerical Functional Analysis and Optimization
1 Numerische Mathematik
1 Results in Mathematics
1 Revista Colombiana de Matemáticas
1 European Journal of Combinatorics
1 Mathematical Social Sciences
1 Applied Numerical Mathematics
1 Optimization
1 Computational Mechanics
1 Economics Letters
1 Continuum Mechanics and Thermodynamics
1 Computational and Applied Mathematics
1 Turkish Journal of Mathematics
1 The Ramanujan Journal
1 Abstract and Applied Analysis
1 Journal of Inequalities and Applications
1 Chaos
1 Communications of the Korean Mathematical Society
1 Acta Mathematica Sinica. English Series
1 Lobachevskii Journal of Mathematics
1 Integers
1 Journal of Nonlinear Mathematical Physics
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Journal of Statistical Mechanics: Theory and Experiment
1 Complex Variables and Elliptic Equations
1 Mathematics in Computer Science
1 Optimization Letters
1 Computational & Mathematical Methods in Medicine
1 Ars Mathematica Contemporanea
1 Arabian Journal of Mathematics
1 Axioms
1 Research in the Mathematical Sciences
1 Open Mathematics

Citations by Year