Huertas, Edmundo J.; Soria-Lorente, Anier New analytic properties of nonstandard Sobolev-type Charlier orthogonal polynomials. (English) Zbl 1420.33003 Numer. Algorithms 82, No. 1, 41-68 (2019). MSC: 33C47 PDF BibTeX XML Cite \textit{E. J. Huertas} and \textit{A. Soria-Lorente}, Numer. Algorithms 82, No. 1, 41--68 (2019; Zbl 1420.33003) Full Text: DOI
Garza, Luis E.; Huertas, Edmundo J.; Marcellán, Francisco On Freud-Sobolev type orthogonal polynomials. (English) Zbl 1438.33015 Afr. Mat. 30, No. 3-4, 505-528 (2019). MSC: 33C45 33C47 PDF BibTeX XML Cite \textit{L. E. Garza} et al., Afr. Mat. 30, No. 3--4, 505--528 (2019; Zbl 1438.33015) Full Text: DOI
Marcellán, Francisco; Xu, Yuan On Sobolev orthogonal polynomials. (English) Zbl 1351.33011 Expo. Math. 33, No. 3, 308-352 (2015). Reviewer: Jiří Hrivnák (Praha) MSC: 33C45 33C50 41A10 42C05 42C10 26C10 PDF BibTeX XML Cite \textit{F. Marcellán} and \textit{Y. Xu}, Expo. Math. 33, No. 3, 308--352 (2015; Zbl 1351.33011) Full Text: DOI
Dueñas, Herbert; Garza, Luis E.; Piñar, Miguel A higher order Sobolev-type inner product for orthogonal polynomials in several variables. (English) Zbl 1432.42021 Numer. Algorithms 68, No. 1, 35-46 (2015). MSC: 42C05 33C47 PDF BibTeX XML Cite \textit{H. Dueñas} et al., Numer. Algorithms 68, No. 1, 35--46 (2015; Zbl 1432.42021) Full Text: DOI
Alfaro, M.; Moreno-Balcázar, J. J.; Peña, A.; Rezola, M. L. Asymptotic formulae for generalized Freud polynomials. (English) Zbl 1295.30014 J. Math. Anal. Appl. 421, No. 1, 474-488 (2015). MSC: 30C10 30E15 33C45 PDF BibTeX XML Cite \textit{M. Alfaro} et al., J. Math. Anal. Appl. 421, No. 1, 474--488 (2015; Zbl 1295.30014) Full Text: DOI
Derevyagin, Maxim; Marcellán, Francisco A note on the Geronimus transformation and Sobolev orthogonal polynomials. (English) Zbl 1306.42043 Numer. Algorithms 67, No. 2, 271-287 (2014). Reviewer: Teresa A. Mesquita (Vila Nova de Famalicão) MSC: 42C05 15A23 PDF BibTeX XML Cite \textit{M. Derevyagin} and \textit{F. Marcellán}, Numer. Algorithms 67, No. 2, 271--287 (2014; Zbl 1306.42043) Full Text: DOI arXiv
Derevyagin, M.; García-Ardila, J. C.; Marcellán, F. Multiple Geronimus transformations. (English) Zbl 1295.42007 Linear Algebra Appl. 454, 158-183 (2014). Reviewer: Peter Massopust (München) MSC: 42C05 15A23 PDF BibTeX XML Cite \textit{M. Derevyagin} et al., Linear Algebra Appl. 454, 158--183 (2014; Zbl 1295.42007) Full Text: DOI
Molano Molano, Luis Alejandro On Laguerre-Sobolev type orthogonal polynomials: zeros and electrostatic interpretation. (English) Zbl 1291.42022 ANZIAM J. 55, No. 1, 39-54 (2013). Reviewer: Teresa A. Mesquita (Vila Nova de Famalicão) MSC: 42C05 PDF BibTeX XML Cite \textit{L. A. Molano Molano}, ANZIAM J. 55, No. 1, 39--54 (2013; Zbl 1291.42022) Full Text: DOI
Delgado, Antonia M.; Pérez, Teresa E.; Piñar, Miguel A. Sobolev-type orthogonal polynomials on the unit ball. (English) Zbl 1285.42021 J. Approx. Theory 170, 94-106 (2013). Reviewer: Alexei Lukashov (Istanbul) MSC: 42C05 33C45 PDF BibTeX XML Cite \textit{A. M. Delgado} et al., J. Approx. Theory 170, 94--106 (2013; Zbl 1285.42021) Full Text: DOI
Marcellán, Francisco; Mendes, Ana; Pijeira, Héctor Bases of the space of solutions of some fourth-order linear difference equations: applications in rational approximation. (English) Zbl 1278.42035 J. Difference Equ. Appl. 19, No. 10, 1632-1644 (2013). Reviewer: Bujar Fejzullahu (Presevo) MSC: 42C05 33C47 PDF BibTeX XML Cite \textit{F. Marcellán} et al., J. Difference Equ. Appl. 19, No. 10, 1632--1644 (2013; Zbl 1278.42035) 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 PDF BibTeX XML Cite \textit{K. Castillo} et al., Appl. Numer. Math. 62, No. 11, 1663--1671 (2012; Zbl 1256.33005) Full Text: DOI
Branquinho, A.; Marcellán, F.; Mendes, A. Relative asymptotics for orthogonal matrix polynomials. (English) Zbl 1262.42006 Linear Algebra Appl. 437, No. 7, 1458-1481 (2012). Reviewer: Alexei Lukashov (Istanbul) MSC: 42C05 15A99 PDF BibTeX XML Cite \textit{A. Branquinho} et al., Linear Algebra Appl. 437, No. 7, 1458--1481 (2012; Zbl 1262.42006) Full Text: DOI arXiv
Dueñas, Herbert; Marcellán, Francisco The Laguerre-Sobolev-type orthogonal polynomials. Holonomic equation and electrostatic interpretation. (English) Zbl 1214.33007 Rocky Mt. J. Math. 41, No. 1, 95-131 (2011). Reviewer: Thomas Stoll (Marseille) MSC: 33C47 PDF BibTeX XML Cite \textit{H. Dueñas} and \textit{F. Marcellán}, Rocky Mt. J. Math. 41, No. 1, 95--131 (2011; Zbl 1214.33007) Full Text: DOI
Marcellán, Francisco; Rafaeli, Fernando R. A note on monotonicity of zeros of generalized Hermite-Sobolev-type orthogonal polynomials. (English) Zbl 1205.42026 Integral Transforms Spec. Funct. 21, No. 11-12, 831-838 (2010). MSC: 42C05 PDF BibTeX XML Cite \textit{F. Marcellán} and \textit{F. R. Rafaeli}, Integral Transforms Spec. Funct. 21, No. 11--12, 831--838 (2010; Zbl 1205.42026) Full Text: DOI
Dimitrov, Dimitar K.; Mello, Mirela V.; Rafaeli, Fernando R. Monotonicity of zeros of Jacobi-Sobolev type orthogonal polynomials. (English) Zbl 1191.33003 Appl. Numer. Math. 60, No. 3, 263-276 (2010). MSC: 33C45 42C05 PDF BibTeX XML Cite \textit{D. K. Dimitrov} et al., Appl. Numer. Math. 60, No. 3, 263--276 (2010; Zbl 1191.33003) Full Text: DOI
Fejzullahu, Bujar Xh.; Marcellán, Francisco A Cohen type inequality for Laguerre-Sobolev expansions. (English) Zbl 1160.42312 J. Math. Anal. Appl. 352, No. 2, 880-889 (2009). MSC: 42C10 42A05 26D15 PDF BibTeX XML Cite \textit{B. Xh. Fejzullahu} and \textit{F. Marcellán}, J. Math. Anal. Appl. 352, No. 2, 880--889 (2009; Zbl 1160.42312) Full Text: DOI
Leopold, Elie Perturbed recurrence relations. III: The general case-some new applications. (English) Zbl 1152.42004 Numer. Algorithms 48, No. 4, 383-402 (2008). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 42C05 33C45 42A05 PDF BibTeX XML Cite \textit{E. Leopold}, Numer. Algorithms 48, No. 4, 383--402 (2008; Zbl 1152.42004) Full Text: DOI
Leopold, Elie Perturbed recurrence relations. II: The general case. (English) Zbl 1220.42018 Numer. Algorithms 44, No. 4, 347-366 (2007). Reviewer: Aleksey A. Dovgoshey (Donetsk) MSC: 42C05 33C45 PDF BibTeX XML Cite \textit{E. Leopold}, Numer. Algorithms 44, No. 4, 347--366 (2007; Zbl 1220.42018) Full Text: DOI
Barrio, R.; Serrano, S. Generation and evaluation of orthogonal polynomials in discrete Sobolev spaces. II: numerical stability. (English) Zbl 1073.65018 J. Comput. Appl. Math. 181, No. 2, 299-320 (2005). MSC: 65D20 42C05 65G50 42C10 65T40 PDF BibTeX XML Cite \textit{R. Barrio} and \textit{S. Serrano}, J. Comput. Appl. Math. 181, No. 2, 299--320 (2005; Zbl 1073.65018) Full Text: DOI
Barrio, R.; Melendo, B.; Serrano, S. Generation and evaluation of orthogonal polynomials in discrete Sobolev spaces. I: Algorithms. (English) Zbl 1066.42017 J. Comput. Appl. Math. 181, No. 2, 280-298 (2005). MSC: 42C05 65D20 42C10 33C47 PDF BibTeX XML Cite \textit{R. Barrio} et al., J. Comput. Appl. Math. 181, No. 2, 280--298 (2005; Zbl 1066.42017) Full Text: DOI
Álvarez-Nodarse, Renato; Moreno-Balcázar, Juan J. Asymptotic properties of generalized Laguerre orthogonal polynomials. (English) Zbl 1064.41022 Indag. Math., New Ser. 15, No. 2, 151-165 (2004). Reviewer: N. M. Temme (Amsterdam) MSC: 41A60 33C45 42C05 PDF BibTeX XML Cite \textit{R. Álvarez-Nodarse} and \textit{J. J. Moreno-Balcázar}, Indag. Math., New Ser. 15, No. 2, 151--165 (2004; Zbl 1064.41022) Full Text: DOI
Marcellán, Francisco; Sánchez-Ruiz, Jorge Connection coefficients for Laguerre–Sobolev orthogonal polynomials. (English) Zbl 1033.42027 J. Math. Anal. Appl. 283, No. 2, 440-458 (2003). Reviewer: Renato Alvarez-Nodarse (Sevilla) MSC: 42C05 33C45 PDF BibTeX XML Cite \textit{F. Marcellán} and \textit{J. Sánchez-Ruiz}, J. Math. Anal. Appl. 283, No. 2, 440--458 (2003; Zbl 1033.42027) Full Text: DOI
Castro, M.; Durán, A. J. Boundedness properties for Sobolev inner products. (English) Zbl 1016.42013 J. Approximation Theory 122, No. 1, 97-111 (2003). MSC: 42C05 PDF BibTeX XML Cite \textit{M. Castro} and \textit{A. J. Durán}, J. Approx. Theory 122, No. 1, 97--111 (2003; Zbl 1016.42013) Full Text: DOI
Barrio, R.; Melendo, B.; Serrano, S. On the numerical evaluation of linear recurrences. (English) Zbl 1015.65072 J. Comput. Appl. Math. 150, No. 1, 71-86 (2003). Reviewer: Willi Schönauer (Karlsruhe) MSC: 65Q05 65Y05 65G50 PDF BibTeX XML Cite \textit{R. Barrio} et al., J. Comput. Appl. Math. 150, No. 1, 71--86 (2003; Zbl 1015.65072) Full Text: DOI
Duran, A. J.; Saff, E. B. Zero location for nonstandard orthogonal polynomials. (English) Zbl 1011.42013 J. Approximation Theory 113, No. 1, 127-141 (2001). Reviewer: Marcel G.de Bruin (Delft) MSC: 42C05 30C15 PDF BibTeX XML Cite \textit{A. J. Duran} and \textit{E. B. Saff}, J. Approx. Theory 113, No. 1, 127--141 (2001; Zbl 1011.42013) Full Text: DOI
Marcellán, Francisco; Szafraniec, Franciszek Hugon A matrix algorithm towards solving the moment problem of Sobolev type. (English) Zbl 0980.65049 Linear Algebra Appl. 331, No. 1-3, 155-164 (2001). Reviewer: F.Szidarovszky (Tucson) MSC: 65F30 PDF BibTeX XML Cite \textit{F. Marcellán} and \textit{F. H. Szafraniec}, Linear Algebra Appl. 331, No. 1--3, 155--164 (2001; Zbl 0980.65049) Full Text: DOI
Area, I.; Godoy, E.; Marcellán, F. Inner products involving differences: The Meixner-Sobolev polynomials. (English) Zbl 0948.33004 J. Difference Equ. Appl. 6, No. 1, 1-31 (2000). Reviewer: J.Saurer (Regensburg) MSC: 33C45 33D45 39A10 39A70 42C05 PDF BibTeX XML Cite \textit{I. Area} et al., J. Difference Equ. Appl. 6, No. 1, 1--31 (2000; Zbl 0948.33004) Full Text: DOI
Bavinck, H. Generalizations of Meixner polynomials which are eigenfunctions of a difference operator. (English) Zbl 0928.33007 J. Difference Equ. Appl. 5, No. 2, 143-153 (1999). Reviewer: M.Idemen (İstanbul) MSC: 33C45 39A70 PDF BibTeX XML Cite \textit{H. Bavinck}, J. Difference Equ. Appl. 5, No. 2, 143--153 (1999; Zbl 0928.33007) Full Text: DOI
Martínez-Finkelshtein, Andrei Asymptotic properties of Sobolev orthogonal polynomials. (English) Zbl 0933.42013 J. Comput. Appl. Math. 99, No. 1-2, 491-510 (1998). Reviewer: Arun Kumar Agarwal (Grambling) MSC: 42C05 33C45 PDF BibTeX XML Cite \textit{A. Martínez-Finkelshtein}, J. Comput. Appl. Math. 99, No. 1--2, 491--510 (1998; Zbl 0933.42013) Full Text: DOI
Bavinck, H. Differential and difference operators having orthogonal polynomials with two linear perturbations as eigenfunctions. (English) Zbl 0928.34060 J. Comput. Appl. Math. 92, No. 2, 85-95 (1998). MSC: 34L10 39A70 34A35 47B39 33C45 PDF BibTeX XML Cite \textit{H. Bavinck}, J. Comput. Appl. Math. 92, No. 2, 85--95 (1998; Zbl 0928.34060) Full Text: DOI
Arvesú, J.; Álvarez-Nodarse, R.; Marcellán, F.; Pan, K. Jacobi-Sobolev-type orthogonal polynomials: Second-order differential equation and zeros. (English) Zbl 0924.33006 J. Comput. Appl. Math. 90, No. 2, 135-156 (1998). Reviewer: Wolfram Koepf (Leipzig) MSC: 33C45 PDF BibTeX XML Cite \textit{J. Arvesú} et al., J. Comput. Appl. Math. 90, No. 2, 135--156 (1998; Zbl 0924.33006) Full Text: DOI
Marcellan, F.; Osilenker, B. P. Estimates of polynomials orthogonal with respect to the Legendre-Sobolev inner product. (English. Russian original) Zbl 0916.33004 Math. Notes 62, No. 6, 731-738 (1997); translation from Mat. Zametki 62, No. 6, 871-880 (1997). Reviewer: A.Lukashov (Saratov) MSC: 33C45 42C05 PDF BibTeX XML Cite \textit{F. Marcellan} and \textit{B. P. Osilenker}, Math. Notes 62, No. 6, 731--738 (1997; Zbl 0916.33004); translation from Mat. Zametki 62, No. 6, 871--880 (1997) Full Text: DOI
Alfaro, M.; Marcellán, F.; Rezola, M. L. Estimates for Jacobi-Sobolev type orthogonal polynomials. (English) Zbl 0888.33006 Appl. Anal. 67, No. 1-2, 157-174 (1997). Reviewer: M.Alfaro MSC: 33C45 42C05 PDF BibTeX XML Cite \textit{M. Alfaro} et al., Appl. Anal. 67, No. 1--2, 157--174 (1997; Zbl 0888.33006) Full Text: DOI
Bavinck, H. Linear perturbations of differential or difference operators with polynomials as eigenfunctions. (English) Zbl 0877.34057 J. Comput. Appl. Math. 78, No. 1, 179-195 (1997); addenda and errata ibid. 83, 145-146 (1997). Reviewer: Gheorghe Moroşanu (Iaşi) MSC: 34L05 34L10 PDF BibTeX XML Cite \textit{H. Bavinck}, J. Comput. Appl. Math. 78, No. 1, 179--195 (1997); addenda and errata ibid. 83, 145--146 (1997; Zbl 0877.34057) Full Text: DOI
Alfaro, M.; López, G.; Rezola, M. L. Some properties of zeros of Sobolev-type orthogonal polynomials. (English) Zbl 0862.33005 J. Comput. Appl. Math. 69, No. 1, 171-179 (1996). Reviewer: M.Idemen (İstanbul) MSC: 33C45 PDF BibTeX XML Cite \textit{M. Alfaro} et al., J. Comput. Appl. Math. 69, No. 1, 171--179 (1996; Zbl 0862.33005) Full Text: DOI
Han, S. S.; Kwon, K. H.; Littlejohn, L. L. Zeros of orthogonal polynomials in certain discrete Sobolev spaces. (English) Zbl 0852.42014 J. Comput. Appl. Math. 67, No. 2, 309-325 (1996). MSC: 42C05 46E35 PDF BibTeX XML Cite \textit{S. S. Han} et al., J. Comput. Appl. Math. 67, No. 2, 309--325 (1996; Zbl 0852.42014) Full Text: DOI
Marcellán, Francisco; Pérez, Teresa E.; Piñar, Miguel A. Regular Sobolev type orthogonal polynomials: The Bessel case. (English) Zbl 0858.42016 Rocky Mt. J. Math. 25, No. 4, 1431-1457 (1995). Reviewer: M.G.de Bruin (Delft) MSC: 42C05 33C45 PDF BibTeX XML Cite \textit{F. Marcellán} et al., Rocky Mt. J. Math. 25, No. 4, 1431--1457 (1995; Zbl 0858.42016) Full Text: DOI
Bavinck, Herman On polynomials orthogonal with respect to an inner product involving differences (the general case). (English) Zbl 0842.42015 Appl. Anal. 59, No. 1-4, 233-240 (1995). MSC: 42C05 33C45 PDF BibTeX XML Cite \textit{H. Bavinck}, Appl. Anal. 59, No. 1--4, 233--240 (1995; Zbl 0842.42015) Full Text: DOI
Bavinck, Herman On polynomials orthogonal with respect to an inner product involving differences. (English) Zbl 0823.42014 J. Comput. Appl. Math. 57, No. 1-2, 17-27 (1995). MSC: 42C05 46E35 33C45 PDF BibTeX XML Cite \textit{H. Bavinck}, J. Comput. Appl. Math. 57, No. 1--2, 17--27 (1995; Zbl 0823.42014) Full Text: DOI
Marcellán, F.; Alfaro, M.; Rezola, M. L. Orthogonal polynomials on Sobolev spaces: Old and new directions. (English) Zbl 0790.42015 J. Comput. Appl. Math. 48, No. 1-2, 113-131 (1993). MSC: 42C05 46E35 PDF BibTeX XML Cite \textit{F. Marcellán} et al., J. Comput. Appl. Math. 48, No. 1--2, 113--131 (1993; Zbl 0790.42015) Full Text: DOI
Pérez, Teresa E.; Piñar, Miguel A. Global properties of zeros for Sobolev-type orthogonal polynomials. (English) Zbl 0792.42012 J. Comput. Appl. Math. 49, No. 1-3, 225-232 (1993). MSC: 42C05 PDF BibTeX XML Cite \textit{T. E. Pérez} and \textit{M. A. Piñar}, J. Comput. Appl. Math. 49, No. 1--3, 225--232 (1993; Zbl 0792.42012) Full Text: DOI
Meijer, H. G. On real and complex zeros of orthogonal polynomials in a discrete Sobolev space. (English) Zbl 0792.42011 J. Comput. Appl. Math. 49, No. 1-3, 179-191 (1993). MSC: 42C05 PDF BibTeX XML Cite \textit{H. G. Meijer}, J. Comput. Appl. Math. 49, No. 1--3, 179--191 (1993; Zbl 0792.42011) Full Text: DOI
Meijer, H. G. Coherent pairs and zeros of Sobolev-type orthogonal polynomials. (English) Zbl 0784.33004 Indag. Math., New Ser. 4, No. 2, 163-176 (1993). Reviewer: J.Saurer (Regensburg) MSC: 33C45 PDF BibTeX XML Cite \textit{H. G. Meijer}, Indag. Math., New Ser. 4, No. 2, 163--176 (1993; Zbl 0784.33004) Full Text: DOI
Ronveaux, A. Sobolev inner products and orthogonal polynomials of Sobolev type. (English) Zbl 0785.33006 Numer. Algorithms 3, No. 1-4, 393-399 (1992). Reviewer: W.Van Assche (Heverlee) MSC: 33C45 42C05 PDF BibTeX XML Cite \textit{A. Ronveaux}, Numer. Algorithms 3, No. 1--4, 393--399 (1992; Zbl 0785.33006) Full Text: DOI