Castillo, K.; Petronilho, J. Classical orthogonal polynomials revisited. (English) Zbl 1522.33007 Result. Math. 78, No. 4, Paper No. 155, 26 p. (2023). MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{K. Castillo} and \textit{J. Petronilho}, Result. Math. 78, No. 4, Paper No. 155, 26 p. (2023; Zbl 1522.33007) Full Text: DOI arXiv
Castillo, K.; Mbouna, D. Proof of two conjectures on Askey-Wilson polynomials. (English) Zbl 1523.33006 Proc. Am. Math. Soc. 151, No. 4, 1655-1661 (2023). MSC: 33D45 PDFBibTeX XMLCite \textit{K. Castillo} and \textit{D. Mbouna}, Proc. Am. Math. Soc. 151, No. 4, 1655--1661 (2023; Zbl 1523.33006) Full Text: DOI arXiv
Castillo, K.; Filipuk, G.; Mbouna, D. On classical orthogonal polynomials on bi-lattices. arXiv:2311.05636 Preprint, arXiv:2311.05636 [math.CA] (2023). MSC: 42C05 33C45 BibTeX Cite \textit{K. Castillo} et al., ``On classical orthogonal polynomials on bi-lattices'', Preprint, arXiv:2311.05636 [math.CA] (2023) Full Text: arXiv OA License
Castillo, K.; Mbouna, D. Epilegomena to the study of semiclassical orthogonal polynomials. arXiv:2307.10331 Preprint, arXiv:2307.10331 [math.CA] (2023). MSC: 33D45 BibTeX Cite \textit{K. Castillo} and \textit{D. Mbouna}, ``Epilegomena to the study of semiclassical orthogonal polynomials'', Preprint, arXiv:2307.10331 [math.CA] (2023) Full Text: arXiv OA License
Álvarez-Nodarse, R.; Castillo, K.; Mbouna, D.; Petronilho, J. On discrete coherent pairs of measures. (English) Zbl 1498.42038 J. Difference Equ. Appl. 28, No. 7, 853-868 (2022). Reviewer: Wilfredo Urbina (Chicago) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{R. Álvarez-Nodarse} et al., J. Difference Equ. Appl. 28, No. 7, 853--868 (2022; Zbl 1498.42038) Full Text: DOI arXiv
Castillo, K.; Mbouna, D.; Petronilho, J. On the functional equation for classical orthogonal polynomials on lattices. (English) Zbl 1520.33005 J. Math. Anal. Appl. 515, No. 1, Article ID 126390, 27 p. (2022). Reviewer: Thomas Ernst (Uppsala) MSC: 33C45 33D45 42C05 PDFBibTeX XMLCite \textit{K. Castillo} et al., J. Math. Anal. Appl. 515, No. 1, Article ID 126390, 27 p. (2022; Zbl 1520.33005) Full Text: DOI arXiv
Castillo, K.; Mbouna, D.; Petronilho, J. Remarks on Askey-Wilson polynomials and Meixner polynomials of the second kind. (English) Zbl 1522.42055 Ramanujan J. 58, No. 4, 1159-1170 (2022). MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{K. Castillo} et al., Ramanujan J. 58, No. 4, 1159--1170 (2022; Zbl 1522.42055) Full Text: DOI arXiv
Castillo, K.; Mbouna, D.; Petronilho, J. A characterization of continuous \(q\)-Jacobi, Chebyshev of the first kind and Al-Salam chihara polynomials. (English) Zbl 1493.33019 J. Math. Anal. Appl. 514, No. 2, Article ID 126358, 16 p. (2022). Reviewer: Roberto S. Costas-Santos (Alcalá) MSC: 33D45 42C05 PDFBibTeX XMLCite \textit{K. Castillo} et al., J. Math. Anal. Appl. 514, No. 2, Article ID 126358, 16 p. (2022; Zbl 1493.33019) Full Text: DOI arXiv
Castillo, Kenier; de Souza Costa, Marisa; Rafaeli, Fernando Rodrigo A survey on Markov’s theorem on zeros of orthogonal polynomials. (English) Zbl 1476.33006 Rassias, Themistocles M. (ed.) et al., Nonlinear analysis and global optimization. Cham: Springer. Springer Optim. Appl. 167, 23-50 (2021). MSC: 33C45 30C15 PDFBibTeX XMLCite \textit{K. Castillo} et al., Springer Optim. Appl. 167, 23--50 (2021; Zbl 1476.33006) Full Text: DOI
Castillo, K.; de Jesus, M. N.; Marcellán, F.; Petronilho, J. \(H_q\)-semiclassical orthogonal polynomials via polynomial mappings. (English) Zbl 1462.42043 Ramanujan J. 54, No. 1, 113-136 (2021). MSC: 42C05 33C45 05A30 PDFBibTeX XMLCite \textit{K. Castillo} et al., Ramanujan J. 54, No. 1, 113--136 (2021; Zbl 1462.42043) Full Text: DOI arXiv
Castillo, K.; de Jesus, M. N.; Petronilho, J. A note on orthogonal polynomials described by Chebyshev polynomials. (English) Zbl 1460.33007 J. Math. Anal. Appl. 497, No. 2, Article ID 124906, 7 p. (2021). Reviewer: Bujar Fejzullahu (Presevo) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{K. Castillo} et al., J. Math. Anal. Appl. 497, No. 2, Article ID 124906, 7 p. (2021; Zbl 1460.33007) Full Text: DOI arXiv
Castillo, K.; Rafaeli, F. R.; Suzuki, A. Stieltjes’ theorem for classical discrete orthogonal polynomials. (English) Zbl 1454.33009 J. Math. Phys. 61, No. 10, 103505, 16 p. (2020). MSC: 33C45 33E30 PDFBibTeX XMLCite \textit{K. Castillo} et al., J. Math. Phys. 61, No. 10, 103505, 16 p. (2020; Zbl 1454.33009) Full Text: DOI arXiv
Castillo, K.; de Jesus, M. N.; Petronilho, J. An electrostatic interpretation of the zeros of sieved ultraspherical polynomials. (English) Zbl 1443.33030 J. Math. Phys. 61, No. 5, 053501, 19 p. (2020). MSC: 33C47 42C05 PDFBibTeX XMLCite \textit{K. Castillo} et al., J. Math. Phys. 61, No. 5, 053501, 19 p. (2020; Zbl 1443.33030) Full Text: DOI arXiv
Álvarez-Nodarse, R.; Castillo, K.; Mbouna, D.; Petronilho, J. On classical orthogonal polynomials related to Hahn’s operator. (English) Zbl 1442.42060 Integral Transforms Spec. Funct. 31, No. 6, 487-505 (2020). MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{R. Álvarez-Nodarse} et al., Integral Transforms Spec. Funct. 31, No. 6, 487--505 (2020; Zbl 1442.42060) Full Text: DOI arXiv
Castillo, K.; Mbouna, D. On another extension of coherent pairs of measures. (English) Zbl 1434.42038 Indag. Math., New Ser. 31, No. 2, 223-234 (2020). MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{K. Castillo} and \textit{D. Mbouna}, Indag. Math., New Ser. 31, No. 2, 223--234 (2020; Zbl 1434.42038) Full Text: DOI arXiv
Castillo, K.; de Jesus, M. N.; Petronilho, J. A proof of a conjecture about a symmetric system of orthogonal polynomials. (English) Zbl 1433.42029 Integral Transforms Spec. Funct. 31, No. 4, 299-303 (2020). MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{K. Castillo} et al., Integral Transforms Spec. Funct. 31, No. 4, 299--303 (2020; Zbl 1433.42029) Full Text: DOI arXiv
Castillo, K.; Costa, M. S.; Rafaeli, F. R. On Markov’s theorem on zeros of orthogonal polynomials revisited. (English) Zbl 1428.33021 Appl. Math. Comput. 339, 390-397 (2018). MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{K. Castillo} et al., Appl. Math. Comput. 339, 390--397 (2018; Zbl 1428.33021) Full Text: DOI
Castillo, K.; Petronilho, J. Refined interlacing properties for zeros of paraorthogonal polynomials on the unit circle. (English) Zbl 1391.15064 Proc. Am. Math. Soc. 146, No. 8, 3285-3294 (2018). Reviewer: Francisco Marcellán (Leganes) MSC: 15A42 15A18 33C47 PDFBibTeX XMLCite \textit{K. Castillo} and \textit{J. Petronilho}, Proc. Am. Math. Soc. 146, No. 8, 3285--3294 (2018; Zbl 1391.15064) Full Text: DOI arXiv
Castillo, Kenier; Marcellán, Francisco; Rivero, Jorge On perturbed orthogonal polynomials on the real line and the unit circle via Szegő’s transformation. (English) Zbl 1411.33007 Appl. Math. Comput. 302, 97-110 (2017). MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{K. Castillo} et al., Appl. Math. Comput. 302, 97--110 (2017; Zbl 1411.33007) Full Text: DOI arXiv
Castillo, K.; Rebocho, M. N. On linear spectral transformations and the Laguerre-Hahn class. (English) Zbl 1379.33019 Integral Transforms Spec. Funct. 28, No. 11, 859-875 (2017). MSC: 33C47 42C05 PDFBibTeX XMLCite \textit{K. Castillo} and \textit{M. N. Rebocho}, Integral Transforms Spec. Funct. 28, No. 11, 859--875 (2017; Zbl 1379.33019) Full Text: DOI
Castillo, Kenier; Marcellán, Francisco; Rivero, Jorge On co-polynomials on the real line and the unit circle. (English) Zbl 1375.42041 Daras, Nicholas J. (ed.) et al., Operations research, engineering, and cyber security. Trends in applied mathematics and technology. Based on the presentations at the conference, Nea Peramos, Greece, May 2015. Cham: Springer (ISBN 978-3-319-51498-7/hbk; 978-3-319-51500-7/ebook). Springer Optimization and Its Applications 113, 69-94 (2017). MSC: 42C05 PDFBibTeX XMLCite \textit{K. Castillo} et al., Springer Optim. Appl. 113, 69--94 (2017; Zbl 1375.42041) Full Text: DOI
Castillo, K.; de Jesus, M. N.; Petronilho, J. On semiclassical orthogonal polynomials via polynomial mappings. (English) Zbl 1370.33014 J. Math. Anal. Appl. 455, No. 2, 1801-1821 (2017). MSC: 33C47 42C05 PDFBibTeX XMLCite \textit{K. Castillo} et al., J. Math. Anal. Appl. 455, No. 2, 1801--1821 (2017; Zbl 1370.33014) Full Text: DOI
Castillo, K.; Marcellán, F.; Rebocho, M. N. Zeros of para-orthogonal polynomials and linear spectral transformations on the unit circle. (English) Zbl 1350.42048 Numer. Algorithms 71, No. 3, 699-714 (2016). Reviewer: María-José Cantero (Zaragoza) MSC: 42C05 30C15 PDFBibTeX XMLCite \textit{K. Castillo} et al., Numer. Algorithms 71, No. 3, 699--714 (2016; Zbl 1350.42048) Full Text: DOI
Castillo, Kenier; Cruz-Barroso, Ruymán; Perdomo-Pío, Francisco On a spectral theorem in paraorthogonality theory. (English) Zbl 1333.42046 Pac. J. Math. 280, No. 2, 327-347 (2016). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 42C05 30C15 26C10 PDFBibTeX XMLCite \textit{K. Castillo} et al., Pac. J. Math. 280, No. 2, 327--347 (2016; Zbl 1333.42046) Full Text: DOI Link
Castillo, Kenier Monotonicity of zeros for a class of polynomials including hypergeometric polynomials. (English) Zbl 1410.33015 Appl. Math. Comput. 266, 183-193 (2015). MSC: 33C05 33C45 42C05 PDFBibTeX XMLCite \textit{K. Castillo}, Appl. Math. Comput. 266, 183--193 (2015; Zbl 1410.33015) Full Text: DOI
Castillo, Kenier; Marcellán, Francisco On some recent results on asymptotic behavior of orthogonal polynomials on the unit circle and inserting point masses. (English) Zbl 1335.42029 Daras, Nicholas J. (ed.) et al., Computation, cryptography, and network security. Cham: Springer (ISBN 978-3-319-18274-2/hbk; 978-3-319-18275-9/ebook). 75-101 (2015). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 42C05 33C47 PDFBibTeX XMLCite \textit{K. Castillo} and \textit{F. Marcellán}, in: Computation, cryptography, and network security. Cham: Springer. 75--101 (2015; Zbl 1335.42029) Full Text: DOI
Castillo, Kenier; Marcellán, Francisco; Rivero, Jorge On co-polynomials on the real line. (English) Zbl 1331.33016 J. Math. Anal. Appl. 427, No. 1, 469-483 (2015). MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{K. Castillo} et al., J. Math. Anal. Appl. 427, No. 1, 469--483 (2015; Zbl 1331.33016) Full Text: DOI
Castillo, Kenier; Rafaeli, Fernando R. On the discrete extension of Markov’s theorem on monotonicity of zeros. (English) Zbl 1333.33013 ETNA, Electron. Trans. Numer. Anal. 44, 271-280 (2015). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C45 30C15 PDFBibTeX XMLCite \textit{K. Castillo} and \textit{F. R. Rafaeli}, ETNA, Electron. Trans. Numer. Anal. 44, 271--280 (2015; Zbl 1333.33013) Full Text: EMIS
Castillo, Kenier On perturbed Szegő recurrences. (English) Zbl 1331.33015 J. Math. Anal. Appl. 411, No. 2, 742-752 (2014). MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{K. Castillo}, J. Math. Anal. Appl. 411, No. 2, 742--752 (2014; Zbl 1331.33015) Full Text: DOI
Castillo, K.; Garza, L.; Marcellán, F. On a direct Uvarov-Chihara problem and some extensions. (English) Zbl 1435.42018 Milovanović, Gradimir V. (ed.) et al., Analytic number theory, approximation theory, and special functions. In honor of Hari M. Srivastava. New York, NY: Springer. 691-704 (2014). MSC: 42C05 33C45 28A12 PDFBibTeX XMLCite \textit{K. Castillo} et al., in: Analytic number theory, approximation theory, and special functions. In honor of Hari M. Srivastava. New York, NY: Springer. 691--704 (2014; Zbl 1435.42018) Full Text: DOI
Castillo, K.; Costa, M. S.; Sri Ranga, A.; Veronese, D. O. A Favard type theorem for orthogonal polynomials on the unit circle from a three term recurrence formula. (English) Zbl 1291.42021 J. Approx. Theory 184, 146-162 (2014). MSC: 42C05 33C47 PDFBibTeX XMLCite \textit{K. Castillo} et al., J. Approx. Theory 184, 146--162 (2014; Zbl 1291.42021) Full Text: DOI arXiv
Castillo, Kenier; Garza, Lino G.; Marcellán, Francisco On computational aspects of discrete Sobolev inner products on the unit circle. (English) Zbl 1329.65086 Appl. Math. Comput. 223, 452-460 (2013). MSC: 65F30 33C45 42A16 65T40 PDFBibTeX XMLCite \textit{K. Castillo} et al., Appl. Math. Comput. 223, 452--460 (2013; Zbl 1329.65086) Full Text: DOI Link
Castillo, K.; Dimitrov, D. K.; Garza, L. E.; Rafaeli, F. R. Perturbations on the antidiagonals of Hankel matrices. (English) Zbl 1329.15057 Appl. Math. Comput. 221, 444-452 (2013). MSC: 15B05 PDFBibTeX XMLCite \textit{K. Castillo} et al., Appl. Math. Comput. 221, 444--452 (2013; Zbl 1329.15057) Full Text: DOI Link
Castillo, Kenier; Garza, Luis E.; Marcellán, Francisco Asymptotic behaviour of Sobolev orthogonal polynomials on the unit circle. (English) Zbl 1273.42025 Integral Transforms Spec. Funct. 24, No. 1, 23-38 (2013). Reviewer: Nele De Schepper (Gent) MSC: 42C05 33C47 PDFBibTeX XMLCite \textit{K. Castillo} et al., Integral Transforms Spec. Funct. 24, No. 1, 23--38 (2013; Zbl 1273.42025) Full Text: DOI
Castillo, Kenier; Marcellán, Francisco Generators of rational spectral transformations for nontrivial \(\mathcal{C}\)-functions. (English) Zbl 1278.42034 Math. Comput. 82, No. 282, 1057-1068 (2013). Reviewer: Mabrouk Sghaier (Medenine) MSC: 42C05 PDFBibTeX XMLCite \textit{K. Castillo} and \textit{F. Marcellán}, Math. Comput. 82, No. 282, 1057--1068 (2013; Zbl 1278.42034) Full Text: DOI
Castillo, Kenier; Lamblém, Regina Litz; Rafaeli, Fernando Rodrigo; Sri Ranga, Alagacone Szegő and para-orthogonal polynomials on the real line: zeros and canonical spectral transformations. (English) Zbl 1269.42016 Math. Comput. 81, No. 280, 2229-2249 (2012). MSC: 42C05 30B70 30E05 PDFBibTeX XMLCite \textit{K. Castillo} et al., Math. Comput. 81, No. 280, 2229--2249 (2012; Zbl 1269.42016) Full Text: DOI
Castillo, K.; Garza, L. E.; Marcellán, F. Zeros of Sobolev orthogonal polynomials on the unit circle. (English) Zbl 1254.33012 Numer. Algorithms 60, No. 4, 669-681 (2012). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C47 42C05 PDFBibTeX XMLCite \textit{K. Castillo} et al., Numer. Algorithms 60, No. 4, 669--681 (2012; Zbl 1254.33012) Full Text: DOI
Castillo, Kenier; Mello, Mirela V.; Rafaeli, Fernando R. Monotonicity and asymptotics of zeros of Sobolev type orthogonal polynomials: A general case. (English) Zbl 1256.33005 Appl. Numer. Math. 62, No. 11, 1663-1671 (2012). MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{K. Castillo} et al., Appl. Numer. Math. 62, No. 11, 1663--1671 (2012; Zbl 1256.33005) Full Text: DOI
Castillo, K.; Lamblém, R. L.; Sri Ranga, A. On a moment problem associated with Chebyshev polynomials. (English) Zbl 1255.44004 Appl. Math. Comput. 218, No. 18, 9571-9574 (2012). Reviewer: Florian-Horia Vasilescu (Villeneuve d’Ascq) MSC: 44A60 33C45 PDFBibTeX XMLCite \textit{K. Castillo} et al., Appl. Math. Comput. 218, No. 18, 9571--9574 (2012; Zbl 1255.44004) Full Text: DOI
Castillo, Kenier A new approach to relative asymptotic behavior for discrete Sobolev-type orthogonal polynomials on the unit circle. (English) Zbl 1242.42018 Appl. Math. Lett. 25, No. 6, 1000-1004 (2012). MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{K. Castillo}, Appl. Math. Lett. 25, No. 6, 1000--1004 (2012; Zbl 1242.42018) Full Text: DOI
Castillo, Kenier; Garza, Luis E.; Marcellán, Francisco A new linear spectral transformation associated with derivatives of Dirac linear functionals. (English) Zbl 1241.42021 J. Approx. Theory 163, No. 12, 1834-1853 (2011). Reviewer: Alexei Lukashov (Istanbul) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{K. Castillo} et al., J. Approx. Theory 163, No. 12, 1834--1853 (2011; Zbl 1241.42021) Full Text: DOI
Castillo, K.; Garza, L.; Marcellán, F. Perturbations on the subdiagonals of Toeplitz matrices. (English) Zbl 1208.42010 Linear Algebra Appl. 434, No. 6, 1563-1579 (2011). Reviewer: Tin Yau Tam (Auburn) MSC: 42C05 15A23 PDFBibTeX XMLCite \textit{K. Castillo} et al., Linear Algebra Appl. 434, No. 6, 1563--1579 (2011; Zbl 1208.42010) Full Text: DOI
Castillo, Kenier; Garza, Luis; Marcellán, Francisco Linear spectral transformations, Hessenberg matrices, and orthogonal polynomials. (English) Zbl 1470.42050 Proceedings of the sixth international conference on functional analysis and approximation theory, Acquafredda di Maratea, Potenza, Italy, September 24–30, 2009. Palermo: Circolo Matematico di Palermo. Suppl. Rend. Circ. Mat. Palermo (2) 82, 3-26 (2010). MSC: 42C05 PDFBibTeX XMLCite \textit{K. Castillo} et al., Suppl. Rend. Circ. Mat. Palermo (2) 82, 3--26 (2010; Zbl 1470.42050)
Castillo, Kenier; Garza, Luis; Marcellán, Francisco Laurent polynomial perturbations of linear functionals. An inverse problem. (English) Zbl 1191.42012 ETNA, Electron. Trans. Numer. Anal. 36(2009-2010), 83-98 (2010). Reviewer: Leonid Golinskii (Kharkov) MSC: 42C05 PDFBibTeX XMLCite \textit{K. Castillo} et al., ETNA, Electron. Trans. Numer. Anal. 36, 83--98 (2009; Zbl 1191.42012) Full Text: EuDML EMIS