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Castillo, Kenier

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Author ID: castillo.kenier Recent zbMATH articles by "Castillo, Kenier"
Published as: Castillo, K.; Castillo, Kenier
External Links: MGP
Documents Indexed: 36 Publications since 2009
Reviewing Activity: 11 Reviews

Publications by Year

Citations contained in zbMATH Open

25 Publications have been cited 97 times in 55 Documents Cited by Year
A Favard type theorem for orthogonal polynomials on the unit circle from a three term recurrence formula. Zbl 1291.42021
Castillo, K.; Costa, M. S.; Sri Ranga, A.; Veronese, D. O.
15
2014
Perturbations on the subdiagonals of Toeplitz matrices. Zbl 1208.42010
Castillo, K.; Garza, L.; Marcellán, F.
14
2011
On co-polynomials on the real line. Zbl 1331.33016
Castillo, Kenier; Marcellán, Francisco; Rivero, Jorge
7
2015
On perturbed Szegő recurrences. Zbl 1331.33015
Castillo, Kenier
5
2014
Zeros of Sobolev orthogonal polynomials on the unit circle. Zbl 1254.33012
Castillo, K.; Garza, L. E.; Marcellán, F.
5
2012
A new approach to relative asymptotic behavior for discrete Sobolev-type orthogonal polynomials on the unit circle. Zbl 1242.42018
Castillo, Kenier
5
2012
Zeros of para-orthogonal polynomials and linear spectral transformations on the unit circle. Zbl 1350.42048
Castillo, K.; Marcellán, F.; Rebocho, M. N.
4
2016
Asymptotic behaviour of Sobolev orthogonal polynomials on the unit circle. Zbl 1273.42025
Castillo, Kenier; Garza, Luis E.; Marcellán, Francisco
4
2013
On semiclassical orthogonal polynomials via polynomial mappings. Zbl 1370.33014
Castillo, K.; de Jesus, M. N.; Petronilho, J.
4
2017
Monotonicity and asymptotics of zeros of Sobolev type orthogonal polynomials: A general case. Zbl 1256.33005
Castillo, Kenier; Mello, Mirela V.; Rafaeli, Fernando R.
4
2012
A new linear spectral transformation associated with derivatives of Dirac linear functionals. Zbl 1241.42021
Castillo, Kenier; Garza, Luis E.; Marcellán, Francisco
4
2011
On the discrete extension of Markov’s theorem on monotonicity of zeros. Zbl 1333.33013
Castillo, Kenier; Rafaeli, Fernando R.
3
2015
Perturbations on the antidiagonals of Hankel matrices. Zbl 1329.15057
Castillo, K.; Dimitrov, D. K.; Garza, L. E.; Rafaeli, F. R.
3
2013
On a spectral theorem in paraorthogonality theory. Zbl 1333.42046
Castillo, Kenier; Cruz-Barroso, Ruymán; Perdomo-Pío, Francisco
3
2016
Refined interlacing properties for zeros of paraorthogonal polynomials on the unit circle. Zbl 1391.15064
Castillo, K.; Petronilho, J.
3
2018
Laurent polynomial perturbations of linear functionals. An inverse problem. Zbl 1191.42012
Castillo, Kenier; Garza, Luis; Marcellán, Francisco
3
2009
On a moment problem associated with Chebyshev polynomials. Zbl 1255.44004
Castillo, K.; Lamblém, R. L.; Sri Ranga, A.
2
2012
Monotonicity of zeros for a class of polynomials including hypergeometric polynomials. Zbl 1410.33015
Castillo, Kenier
2
2015
On linear spectral transformations and the Laguerre-Hahn class. Zbl 1379.33019
Castillo, K.; Rebocho, M. N.
1
2017
On computational aspects of discrete Sobolev inner products on the unit circle. Zbl 1329.65086
Castillo, Kenier; Garza, Lino G.; Marcellán, Francisco
1
2013
Generators of rational spectral transformations for nontrivial \(\mathcal{C}\)-functions. Zbl 1278.42034
Castillo, Kenier; Marcellán, Francisco
1
2013
On a direct Uvarov-Chihara problem and some extensions. Zbl 1435.42018
Castillo, K.; Garza, L.; Marcellán, F.
1
2014
On monotonicity of zeros of paraorthogonal polynomials on the unit circle. Zbl 1432.30004
Castillo, K.
1
2019
On Markov’s theorem on zeros of orthogonal polynomials revisited. Zbl 1428.33021
Castillo, K.; Costa, M. S.; Rafaeli, F. R.
1
2018
An electrostatic interpretation of the zeros of sieved ultraspherical polynomials. Zbl 1443.33030
Castillo, K.; de Jesus, M. N.; Petronilho, J.
1
2020
An electrostatic interpretation of the zeros of sieved ultraspherical polynomials. Zbl 1443.33030
Castillo, K.; de Jesus, M. N.; Petronilho, J.
1
2020
On monotonicity of zeros of paraorthogonal polynomials on the unit circle. Zbl 1432.30004
Castillo, K.
1
2019
Refined interlacing properties for zeros of paraorthogonal polynomials on the unit circle. Zbl 1391.15064
Castillo, K.; Petronilho, J.
3
2018
On Markov’s theorem on zeros of orthogonal polynomials revisited. Zbl 1428.33021
Castillo, K.; Costa, M. S.; Rafaeli, F. R.
1
2018
On semiclassical orthogonal polynomials via polynomial mappings. Zbl 1370.33014
Castillo, K.; de Jesus, M. N.; Petronilho, J.
4
2017
On linear spectral transformations and the Laguerre-Hahn class. Zbl 1379.33019
Castillo, K.; Rebocho, M. N.
1
2017
Zeros of para-orthogonal polynomials and linear spectral transformations on the unit circle. Zbl 1350.42048
Castillo, K.; Marcellán, F.; Rebocho, M. N.
4
2016
On a spectral theorem in paraorthogonality theory. Zbl 1333.42046
Castillo, Kenier; Cruz-Barroso, Ruymán; Perdomo-Pío, Francisco
3
2016
On co-polynomials on the real line. Zbl 1331.33016
Castillo, Kenier; Marcellán, Francisco; Rivero, Jorge
7
2015
On the discrete extension of Markov’s theorem on monotonicity of zeros. Zbl 1333.33013
Castillo, Kenier; Rafaeli, Fernando R.
3
2015
Monotonicity of zeros for a class of polynomials including hypergeometric polynomials. Zbl 1410.33015
Castillo, Kenier
2
2015
A Favard type theorem for orthogonal polynomials on the unit circle from a three term recurrence formula. Zbl 1291.42021
Castillo, K.; Costa, M. S.; Sri Ranga, A.; Veronese, D. O.
15
2014
On perturbed Szegő recurrences. Zbl 1331.33015
Castillo, Kenier
5
2014
On a direct Uvarov-Chihara problem and some extensions. Zbl 1435.42018
Castillo, K.; Garza, L.; Marcellán, F.
1
2014
Asymptotic behaviour of Sobolev orthogonal polynomials on the unit circle. Zbl 1273.42025
Castillo, Kenier; Garza, Luis E.; Marcellán, Francisco
4
2013
Perturbations on the antidiagonals of Hankel matrices. Zbl 1329.15057
Castillo, K.; Dimitrov, D. K.; Garza, L. E.; Rafaeli, F. R.
3
2013
On computational aspects of discrete Sobolev inner products on the unit circle. Zbl 1329.65086
Castillo, Kenier; Garza, Lino G.; Marcellán, Francisco
1
2013
Generators of rational spectral transformations for nontrivial \(\mathcal{C}\)-functions. Zbl 1278.42034
Castillo, Kenier; Marcellán, Francisco
1
2013
Zeros of Sobolev orthogonal polynomials on the unit circle. Zbl 1254.33012
Castillo, K.; Garza, L. E.; Marcellán, F.
5
2012
A new approach to relative asymptotic behavior for discrete Sobolev-type orthogonal polynomials on the unit circle. Zbl 1242.42018
Castillo, Kenier
5
2012
Monotonicity and asymptotics of zeros of Sobolev type orthogonal polynomials: A general case. Zbl 1256.33005
Castillo, Kenier; Mello, Mirela V.; Rafaeli, Fernando R.
4
2012
On a moment problem associated with Chebyshev polynomials. Zbl 1255.44004
Castillo, K.; Lamblém, R. L.; Sri Ranga, A.
2
2012
Perturbations on the subdiagonals of Toeplitz matrices. Zbl 1208.42010
Castillo, K.; Garza, L.; Marcellán, F.
14
2011
A new linear spectral transformation associated with derivatives of Dirac linear functionals. Zbl 1241.42021
Castillo, Kenier; Garza, Luis E.; Marcellán, Francisco
4
2011
Laurent polynomial perturbations of linear functionals. An inverse problem. Zbl 1191.42012
Castillo, Kenier; Garza, Luis; Marcellán, Francisco
3
2009

Citations by Year