K. Castillo

发表

On monotonicity of zeros of paraorthogonal polynomials on the unit circle

K. Castillo, 2017, Linear Algebra and its Applications.

On variation of eigenvalues of birth and death matrices and random walk matrices

I. Zaballa, K. Castillo, 2019, Adv. Appl. Math..

Refined interlacing properties for zeros of paraorthogonal polynomials on the unit circle

J. Petronilho, K. Castillo, 2017, 1706.05706.

$$H_q$$ H q -Semiclassical orthogonal polynomials via polynomial mappings

J. Petronilho, K. Castillo, F. Marcellán, 2020 .

A proof of a conjecture about a symmetric system of orthogonal polynomials

J. Petronilho, K. Castillo, M. N. de Jesus, 2019, 1910.00880.

On classical orthogonal polynomials related to Hahn's operator

J. Petronilho, K. Castillo, R. Álvarez-Nodarse, 2019, Integral Transforms and Special Functions.

On perturbed Szegő recurrences

K. Castillo, 2014 .

On zeros of polynomials in best $$L^p$$ L p -approximation and inserting mass points

Marisa de Souza Costa, K. Castillo, F. R. Rafaeli, 2017, São Paulo Journal of Mathematical Sciences.

On Co-polynomials on the Real Line and the Unit Circle

K. Castillo, F. Marcellán, J. Rivero, 2017 .

On a spectral theorem in paraorthogonality theory

K. Castillo, Francisco Perdomo-Pío, R. Cruz-Barroso, 2016 .

A characterization of continuous q-Jacobi, Chebyshev of the first kind and Al-Salam Chihara polynomials

J. Petronilho, K. Castillo, D. Mbouna, 2021, Journal of Mathematical Analysis and Applications.

Remarks on Askey–Wilson polynomials and Meixner polynomials of the second kind

J. Petronilho, K. Castillo, D. Mbouna, 2021, The Ramanujan Journal.

On another extension of coherent pairs of measures

K. Castillo, D. Mbouna, 2019, Indagationes Mathematicae.

Perturbations on the subdiagonals of Toeplitz matrices

L. Garza, K. Castillo, F. Marcellán, 2011 .

Markov’s Theorem for Weight Functions on the Unit Circle

K. Castillo, 2019, Constructive Approximation.

Monotonicity of zeros for a class of polynomials including hypergeometric polynomials

Kenier Castillo, K. Castillo, 2015, Appl. Math. Comput..

$$H_q$$ H q -Semiclassical orthogonal polynomials via polynomial mappings

F. Marcell'an, J. Petronilho, K. Castillo, 2016, The Ramanujan Journal.

On linear spectral transformations and the Laguerre–Hahn class

M. N. Rebocho, K. Castillo, 2017 .

On a formula of Thompson and McEnteggert for the adjugate matrix

Kenier Castillo, Ion Zaballa, I. Zaballa, 2021, Linear Algebra and its Applications.

On discrete coherent pairs of measures

J. Petronilho, K. Castillo, R. Álvarez-Nodarse, 2020, Journal of Difference Equations and Applications.

On computational aspects of discrete Sobolev inner products on the unit circle

Lino G. Garza, Francisco Marcellán, Kenier Castillo, 2013, Appl. Math. Comput..

Classical Orthogonal Polynomials Revisited

J. Petronilho, K. Castillo, J. Petronilho, 2021, Results in Mathematics.

Remark on the eigenvalues of a tridiagonal matrix in biogeography

K. Castillo, 2023, Applied Mathematics and Computation.

Generators of rational spectral transformations for nontrivial C-functions

Francisco Marcellán, Kenier Castillo, K. Castillo, 2012, Math. Comput..

On Markov's theorem on zeros of orthogonal polynomials revisited

Kenier Castillo, M. S. Costa, Fernando R. Rafaeli, 2018, Appl. Math. Comput..

On perturbed orthogonal polynomials on the real line and the unit circle via Szegő's transformation

Francisco Marcellán, Kenier Castillo, Jorge Rivero, 2015, Appl. Math. Comput..

A Favard type theorem for orthogonal polynomials on the unit circle from a three term recurrence formula

A. Sri Ranga, D. O. Veronese, Kenier Castillo, 2013, J. Approx. Theory.

On the positivity of a certain function related with the Digamma function

K. Castillo, 2022, The Ramanujan journal.

Epilegomena to the study of semiclassical orthogonal polynomials

K. Castillo, D. Mbouna, 2023, 2307.10331.

On classical orthogonal polynomials on lattices and some characterization theorems

J. Petronilho, K. Castillo, D. Mbouna, 2022, 2209.04615.

On the functional equation for classical orthogonal polynomials on lattices

J. Petronilho, K. Castillo, D. Mbouna, 2021, Journal of Mathematical Analysis and Applications.

On variation of zeros of classical discrete orthogonal polynomials

K. Castillo, F. R. Rafaeli, A. Suzuki, 2020, 2006.07884.

A note on orthogonal polynomials described by Chebyshev polynomials

J. Petronilho, K. Castillo, M. N. de Jesus, 2019, Journal of Mathematical Analysis and Applications.

On co-polynomials on the real line

K. Castillo, F. Marcellán, J. Rivero, 2015 .

ON THE DISCRETE EXTENSION OF MARKOV’S THEOREM ON MONOTONICITY OF ZEROS

K. Castillo, F. R. Rafaeli, 2015 .

On Some Recent Results on Asymptotic Behavior of Orthogonal Polynomials on the Unit Circle and Inserting Point Masses

K. Castillo, F. Marcellán, 2015 .

An electrostatic interpretation of the zeros of sieved ultraspherical polynomials

J. Petronilho, K. Castillo, M. N. de Jesus, 2019, 1909.12062.

ON SEMICLASSICAL ORTHOGONAL POLYNOMIALS VIA POLYNOMIAL MAPPINGS II: SIEVED ULTRASPHERICAL POLYNOMIALS REVISITED

J. Petronilho, K. Castillo, M. N. D. Jesus, 2017 .