Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav Quadratures associated with pseudo-orthogonal rational functions on the real half line with poles in \([-\infty,0]\). (English) Zbl 1262.65041 J. Comput. Appl. Math. 237, 589-602 (2013). Reviewer: Ana-Maria Acu (Sibiu) MSC: 65D32 42C10 41A55 PDFBibTeX XMLCite \textit{A. Bultheel} et al., J. Comput. Appl. Math. 237, 589--602 (2013; Zbl 1262.65041) Full Text: DOI
Bultheel, A.; González-Vera, P.; Hendriksen, E.; Njåstad, O. Natural solutions of rational Stieltjes moment problems. (English) Zbl 1211.44006 J. Math. Anal. Appl. 377, No. 2, 571-583 (2011). Reviewer: Isabel Marrero (La Laguna) MSC: 44A60 PDFBibTeX XMLCite \textit{A. Bultheel} et al., J. Math. Anal. Appl. 377, No. 2, 571--583 (2011; Zbl 1211.44006) Full Text: DOI
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav Orthogonal rational functions. Reprint of the 1999 hardback ed. (English) Zbl 1205.42024 Cambridge Monographs on Applied and Computational Mathematics 5. Cambridge: Cambridge University Press (ISBN 978-0-521-11591-9/pbk). xiv, 407 p. (2009). MSC: 42C05 33C45 33-02 42-02 PDFBibTeX XMLCite \textit{A. Bultheel} et al., Orthogonal rational functions. Reprint of the 1999 hardback ed. Cambridge: Cambridge University Press (2009; Zbl 1205.42024)
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav Orthogonal rational functions on the unit circle: from the scalar to the matrix case. (English) Zbl 1142.42010 Marcellán, Francisco (ed.) et al., Orthogonal polynomials and special functions. Computation and applications. Lecture notes of the 5th European summer school, Madrid, Laganés, Spain, July 8–18, 2004. Berlin: Springer (ISBN 3-540-31062-2/pbk). Lecture Notes in Mathematics 1883, 187-228 (2006). Reviewer: Andrei Martínez Finkelshtein (Almeria) MSC: 42C05 30E05 41A55 65D32 PDFBibTeX XMLCite \textit{A. Bultheel} et al., Lect. Notes Math. 1883, 187--228 (2006; Zbl 1142.42010)
Bultheel, A.; González-Vera, P.; Hendriksen, E.; Njåstad, Olav Separation of zeros of para-orthogonal rational functions. (English) Zbl 1129.42406 Rev. Acad. Canar. Cienc. 16(2004), No. 1-2, 9-14 (2005). MSC: 42C05 PDFBibTeX XMLCite \textit{A. Bultheel} et al., Rev. Acad. Canar. Cienc. 16, No. 1--2, 9--14 (2005; Zbl 1129.42406)
Bultheel, A.; González-Vera, P.; Hendriksen, E.; Njåstad, O. Orthogonal rational functions on the real half line with poles in \([-\infty,0]\). (English) Zbl 1068.42022 J. Comput. Appl. Math. 179, No. 1-2, 121-155 (2005). Reviewer: Alexei Lukashov (Saratov) MSC: 42C05 65D32 PDFBibTeX XMLCite \textit{A. Bultheel} et al., J. Comput. Appl. Math. 179, No. 1--2, 121--155 (2005; Zbl 1068.42022) Full Text: DOI
Bultheel, A.; González-Vera, P.; Hendriksen, E.; Njåstad, Olav Orthogonal rational functions and quadrature on the real half line. (English) Zbl 1049.42012 J. Complexity 19, No. 3, 212-230 (2003). Reviewer: Walter Van Assche (Leuven) MSC: 42C05 PDFBibTeX XMLCite \textit{A. Bultheel} et al., J. Complexity 19, No. 3, 212--230 (2003; Zbl 1049.42012) Full Text: DOI
Bultheel, A.; González-Vera, P.; Hendriksen, E.; Njåstad, O. Orthogonal rational functions and tridiagonal matrices. (English) Zbl 1014.42017 J. Comput. Appl. Math. 153, No. 1-2, 89-97 (2003). MSC: 42C05 30B70 65D32 30E05 PDFBibTeX XMLCite \textit{A. Bultheel} et al., J. Comput. Appl. Math. 153, No. 1--2, 89--97 (2003; Zbl 1014.42017) Full Text: DOI
Bultheel, A.; Gonzalez-Vera, P.; Hendriksen, E.; Njåstad, Olav A rational Stieltjes moment problem. (English) Zbl 1055.30031 Appl. Math. Comput. 128, No. 2-3, 217-235 (2002). Reviewer: Elena E. Berdysheva (Stuttgart) MSC: 30E05 44A60 42C05 30E10 41A21 PDFBibTeX XMLCite \textit{A. Bultheel} et al., Appl. Math. Comput. 128, No. 2--3, 217--235 (2002; Zbl 1055.30031) Full Text: DOI
Bultheel, Adhemar; Gonzalez-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav Orthogonal rational functions and continued fractions. (English) Zbl 0995.42017 Bustoz, Joaquin (ed.) et al., Special functions 2000: current perspective and future directions. Proceedings of the NATO Advanced Study Institute, Tempe, AZ, USA, May 29-June 9, 2000. Dordrecht: Kluwer Academic Publishers. NATO Sci. Ser. II, Math. Phys. Chem. 30, 87-109 (2001). Reviewer: Marcel G.de Bruin (Delft) MSC: 42C05 30B70 30E05 41A21 33C45 PDFBibTeX XMLCite \textit{A. Bultheel} et al., NATO Sci. Ser. II, Math. Phys. Chem. 30, 87--109 (2001; Zbl 0995.42017)
Bultheel, A.; González-Vera, P.; Hendriksen, E.; Njåstad, O. Determinacy of a rational moment problem. (English) Zbl 0997.44005 J. Comput. Appl. Math. 133, No. 1-2, 241-252 (2001). Reviewer: C.L.Parihar (Indore) MSC: 44A60 42C05 30E05 PDFBibTeX XMLCite \textit{A. Bultheel} et al., J. Comput. Appl. Math. 133, No. 1--2, 241--252 (2001; Zbl 0997.44005) Full Text: DOI
Hendriksen, Erik; Nijhuis, Caspar Laurent-Jacobi matrices and the Strong Hamburger Moment Problem. (English) Zbl 0974.30031 Acta Appl. Math. 61, No. 1-3, 119-132 (2000). Reviewer: Vladimir Bolotnikov (Williamsburg) MSC: 30E05 PDFBibTeX XMLCite \textit{E. Hendriksen} and \textit{C. Nijhuis}, Acta Appl. Math. 61, No. 1--3, 119--132 (2000; Zbl 0974.30031) Full Text: DOI
Bultheel, A.; González-Vera, P.; Hendriksen, E.; Njåstad, O. Orthogonal rational functions and interpolatory product rules on the unit circle. III: Convergence of general sequences. (English) Zbl 0979.41019 Analysis, München 20, No. 2, 99-120 (2000). Reviewer: Václav Burjan (Praha) MSC: 41A55 33C45 41A21 PDFBibTeX XMLCite \textit{A. Bultheel} et al., Analysis, München 20, No. 2, 99--120 (2000; Zbl 0979.41019) Full Text: DOI
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav Elements of a theory of orthogonal rational functions. (English) Zbl 1029.42019 Rev. Acad. Canar. Cienc. 11, No. 1-2, 127-152 (1999). MSC: 42C05 41A20 PDFBibTeX XMLCite \textit{A. Bultheel} et al., Rev. Acad. Canar. Cienc. 11, No. 1--2, 127--152 (1999; Zbl 1029.42019)
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav A density problem for orthogonal rational functions. (English) Zbl 0944.30021 J. Comput. Appl. Math. 105, No. 1-2, 199-212 (1999). Reviewer: Váslaw Burjan (Praha) MSC: 30E05 42C05 PDFBibTeX XMLCite \textit{A. Bultheel} et al., J. Comput. Appl. Math. 105, No. 1--2, 199--212 (1999; Zbl 0944.30021) Full Text: DOI
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav Orthogonal rational functions. (English) Zbl 0923.42017 Cambridge Monographs on Applied and Computational Mathematics. 5. Cambridge: Cambridge University Press. xiv, 407 p. (1999). Reviewer: Mihai Putinar (Santa Barbara) MSC: 42C05 33C45 33-02 42-02 PDFBibTeX XMLCite \textit{A. Bultheel} et al., Orthogonal rational functions. Cambridge: Cambridge University Press (1999; Zbl 0923.42017)
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav Continued fractions and orthogonal rational functions. (English) Zbl 0930.30004 Jones, William B. (ed.) et al., Orthogonal functions, moment theory, and continued fractions: theory and applications. Proceedings of a research conference/workshop, Campinas, São Paulo, Brazil, June 19–28, 1996. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 199, 69-100 (1998). Reviewer: Guillermo López Lagomasino (Leganes) MSC: 30B70 30E15 42C05 PDFBibTeX XMLCite \textit{A. Bultheel} et al., Lect. Notes Pure Appl. Math. 199, 69--100 (1998; Zbl 0930.30004)
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav Orthogonal rational functions and interpolatory product rules on the unit circle. II: Quadrature and convergence. (English) Zbl 0929.30027 Analysis, München 18, No. 2, 185-200 (1998). Reviewer: Váslaw Burjan (Praha) MSC: 30E05 33C45 41A20 PDFBibTeX XMLCite \textit{A. Bultheel} et al., Analysis, München 18, No. 2, 185--200 (1998; Zbl 0929.30027)
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav Orthogonal rational functions and interpolatory product rules on the unit circle. I: Recurrence and interpolation. (English) Zbl 0929.30026 Analysis, München 18, No. 2, 167-183 (1998). Reviewer: L.Lorentzen (Trondheim) MSC: 30E05 33C45 41A05 PDFBibTeX XMLCite \textit{A. Bultheel} et al., Analysis, München 18, No. 2, 167--183 (1998; Zbl 0929.30026)
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav A Favard theorem for rational functions with poles on the unit circle. (English) Zbl 0893.33004 East J. Approx. 3, No. 1, 21-37 (1997). Reviewer: D.Dryanov (Sofia) MSC: 33C45 42C05 30E05 30C10 PDFBibTeX XMLCite \textit{A. Bultheel} et al., East J. Approx. 3, No. 1, 21--37 (1997; Zbl 0893.33004)
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav A rational moment problem on the unit circle. (English) Zbl 0905.30030 Methods Appl. Anal. 4, No. 3, 283-310 (1997). Reviewer: J.Bustamante González (Puebla) MSC: 30E05 42C10 42A99 47A57 PDFBibTeX XMLCite \textit{A. Bultheel} et al., Methods Appl. Anal. 4, No. 3, 283--310 (1997; Zbl 0905.30030) Full Text: DOI
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav Orthogonal rational functions and nested disks. (English) Zbl 0878.42012 J. Approximation Theory 89, No. 3, 344-371 (1997). Reviewer: G.López Lagomasino (Leganes) MSC: 42C05 PDFBibTeX XMLCite \textit{A. Bultheel} et al., J. Approx. Theory 89, No. 3, 344--371 (1997; Zbl 0878.42012) Full Text: DOI Link
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav Convergence of modified approximants associated with orthogonal rational functions. (English) Zbl 0898.42008 J. Comput. Appl. Math. 57, No. 1-2, 77-86 (1995). MSC: 42C05 41A20 30E10 41A30 PDFBibTeX XMLCite \textit{A. Bultheel} et al., J. Comput. Appl. Math. 57, No. 1--2, 77--86 (1995; Zbl 0898.42008) Full Text: DOI
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav Favard theorem for reproducing kernels. (English) Zbl 0851.30001 J. Comput. Appl. Math. 57, No. 1-2, 57-76 (1995). Reviewer: A.Bultheel (Leuven) MSC: 30C15 PDFBibTeX XMLCite \textit{A. Bultheel} et al., J. Comput. Appl. Math. 57, No. 1--2, 57--76 (1995; Zbl 0851.30001) Full Text: DOI
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav Convergence of orthogonal rational functions. (English) Zbl 0872.33006 Ali, Rosihan M. (ed.) et al., Computational methods and function theory 1994. Proceedings of the conference, Penang, Malaysia, March 21–25, 1994. Singapore: World Scientific. Ser. Approx. Decompos. 5, 111-123 (1995). Reviewer: J.Müller (Trier) MSC: 33C45 PDFBibTeX XMLCite \textit{A. Bultheel} et al., Ser. Approx. Decompos. 5, 111--123 (1995; Zbl 0872.33006)
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav Asymptotics for orthogonal rational functions. (English) Zbl 0814.42012 Trans. Am. Math. Soc. 346, No. 1, 307-329 (1994). MSC: 42C05 30B70 30D50 41A20 PDFBibTeX XMLCite \textit{A. Bultheel} et al., Trans. Am. Math. Soc. 346, No. 1, 307--329 (1994; Zbl 0814.42012) Full Text: DOI
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav Recurrence relations for orthogonal functions. (English) Zbl 0813.30007 Cooper, Clement S. (ed.) et al., Continued fractions and orthogonal functions: theory and applications. Proceedings, 4th workshop, held in Loen, Norway, June 21 - July 4, 1992. Basel: Dekker. Lect. Notes Pure Appl. Math. 154, 23-46 (1994). Reviewer: L.Lorentzen (Trondheim) MSC: 30B70 42C05 33C45 39A10 PDFBibTeX XMLCite \textit{A. Bultheel} et al., Lect. Notes Pure Appl. Math. 154, 23--46 (1994; Zbl 0813.30007)
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav Orthogonal rational functions with poles on the unit circle. (English) Zbl 0796.33003 J. Math. Anal. Appl. 182, No. 1, 221-243 (1994). Reviewer: J.Gilewicz (Marseille) MSC: 33C45 30C10 41A20 PDFBibTeX XMLCite \textit{A. Bultheel} et al., J. Math. Anal. Appl. 182, No. 1, 221--243 (1994; Zbl 0796.33003) Full Text: DOI Link
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav Moment problems and orthogonal functions. (English) Zbl 0795.33003 J. Comput. Appl. Math. 48, No. 1-2, 49-68 (1993). Reviewer: H.Stahl (Berlin) MSC: 33C45 42C05 30E05 PDFBibTeX XMLCite \textit{A. Bultheel} et al., J. Comput. Appl. Math. 48, No. 1--2, 49--68 (1993; Zbl 0795.33003) Full Text: DOI
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav Orthogonal rational functions and quadrature on the unit circle. (English) Zbl 0786.42011 Numer. Algorithms 3, No. 1-4, 105-116 (1992). Reviewer: L.Lorentzen (Trondheim) MSC: 42C05 30C99 41A55 65D32 30E10 PDFBibTeX XMLCite \textit{A. Bultheel} et al., Numer. Algorithms 3, No. 1--4, 105--116 (1992; Zbl 0786.42011) Full Text: DOI
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav A Favard theorem for orthogonal rational functions on the unit circle. (English) Zbl 0786.42010 Numer. Algorithms 3, No. 1-4, 81-89 (1992). Reviewer: L.Lorentzen (Trondheim) MSC: 42C05 30C99 65D99 PDFBibTeX XMLCite \textit{A. Bultheel} et al., Numer. Algorithms 3, No. 1--4, 81--89 (1992; Zbl 0786.42010) Full Text: DOI
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav The computation of orthogonal rational functions and their interpolating properties. (English) Zbl 0758.65009 Numer. Algorithms 2, No. 1, 85-114 (1992). Reviewer: R.S.Dahiya (Ames) MSC: 65D20 41A20 42C05 30D50 65Q05 33C45 PDFBibTeX XMLCite \textit{A. Bultheel} et al., Numer. Algorithms 2, No. 1, 85--114 (1992; Zbl 0758.65009) Full Text: DOI
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav Orthogonality and quadrature on the unit circle. (English) Zbl 0830.30022 Brezinski, Claude (ed.) et al., Orthogonal polynomials and their applications. Proceedings of the third international symposium held in Erice, Italy, June 1-8, 1990. Basel: J. C. Baltzer, IMACS Ann. Comput. Appl. Math. 9, 205-210 (1991). MSC: 30E05 41A55 33C45 42C05 41A21 65D32 PDFBibTeX XMLCite \textit{A. Bultheel} et al., IMACS Ann. Comput. Appl. Math. 9, 205--210 (1991; Zbl 0830.30022)
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav Orthogonal rational functions similar to Szegö polynomials. (English) Zbl 0829.42020 Brezinski, Claude (ed.) et al., Orthogonal polynomials and their applications. Proceedings of the third international symposium held in Erice, Italy, June 1-8, 1990. Basel: J. C. Baltzer, IMACS Ann. Comput. Appl. Math. 9, 195-204 (1991). MSC: 42C05 PDFBibTeX XMLCite \textit{A. Bultheel} et al., IMACS Ann. Comput. Appl. Math. 9, 195--204 (1991; Zbl 0829.42020)
Hendriksen, Erik; van Rossum, Herman Orthogonal moments. (English) Zbl 0736.33007 Rocky Mt. J. Math. 21, No. 1, 319-330 (1991). Reviewer: M.G.de Bruin (Haarlem) MSC: 33C45 PDFBibTeX XMLCite \textit{E. Hendriksen} and \textit{H. van Rossum}, Rocky Mt. J. Math. 21, No. 1, 319--330 (1991; Zbl 0736.33007) Full Text: DOI
Hendriksen, Erik; Njåstad, Olav Biorthogonal Laurent polynomials with biorthogonal derivatives. (English) Zbl 0763.33004 Rocky Mt. J. Math. 21, No. 1, 301-317 (1991). Reviewer: M.G.de Bruin (Haarlem) MSC: 33C65 33E30 42C05 PDFBibTeX XMLCite \textit{E. Hendriksen} and \textit{O. Njåstad}, Rocky Mt. J. Math. 21, No. 1, 301--317 (1991; Zbl 0763.33004) Full Text: DOI
Hendriksen, Erik A weight function for the associated Jacobi-Laurent polynomials. (English) Zbl 0716.33007 J. Comput. Appl. Math. 33, No. 2, 171-180 (1990). Reviewer: H.-J.Glaeske MSC: 33C45 PDFBibTeX XMLCite \textit{E. Hendriksen}, J. Comput. Appl. Math. 33, No. 2, 171--180 (1990; Zbl 0716.33007) Full Text: DOI
Hendriksen, Erik Associated Jacobi-Laurent polynomials. (English) Zbl 0715.33007 J. Comput. Appl. Math. 32, No. 1-2, 125-141 (1990). Reviewer: L.Lorentzen MSC: 33C45 33C05 30B70 41A21 PDFBibTeX XMLCite \textit{E. Hendriksen}, J. Comput. Appl. Math. 32, No. 1--2, 125--141 (1990; Zbl 0715.33007) Full Text: DOI
Hendriksen, E.; van Rossum, H. Electrostatic interpretation of zeros. (English) Zbl 0685.33009 Orthogonal polynomials and their applications, Proc. Int. Symp., Segovia/Spain 1986, Lect. Notes Math. 1329, 241-250 (1988). Reviewer: M.E.Muldoon MSC: 33C45 PDFBibTeX XML
Hendriksen, E. Some orthogonal systems of \(_{p+1}F_ p\)-type Laurent polynomials. (English) Zbl 0662.42015 Nonlinear numerical methods and rational approximation, Proc. Conf., Antwerp/Belgium 1987, Math. Appl., D. Reidel Publ. Co. 43, 213-227 (1988). MSC: 42C05 PDFBibTeX XML
Hendriksen, E. A characterization of classical orthogonal Laurent polynomials. (English) Zbl 0659.33004 Indag. Math. 50, No. 2, 165-180 (1988). Reviewer: A.Magnus MSC: 33C45 PDFBibTeX XMLCite \textit{E. Hendriksen}, Indag. Math. 50, No. 2, 165--180 (1988; Zbl 0659.33004)
Hendriksen, E.; van Rossum, H. Orthogonal Laurent polynomials. (English) Zbl 0604.33004 Indag. Math. 48, 17-36 (1986). Reviewer: A.Magnus MSC: 33C45 33C05 PDFBibTeX XMLCite \textit{E. Hendriksen} and \textit{H. van Rossum}, Indag. Math. 48, 17--36 (1986; Zbl 0604.33004)
Hendriksen, E.; van Rossum, H. A Padé-type approach to non-classical orthogonal polynomials. (English) Zbl 0572.33011 J. Math. Anal. Appl. 106, 237-248 (1985). Reviewer: A.Magnus MSC: 33C45 41A21 PDFBibTeX XMLCite \textit{E. Hendriksen} and \textit{H. van Rossum}, J. Math. Anal. Appl. 106, 237--248 (1985; Zbl 0572.33011) Full Text: DOI