Arvesú, J.; Driver, K.; Littlejohn, L. L. Zeros of Jacobi and ultraspherical polynomials. (English) Zbl 07695121 Ramanujan J. 61, No. 2, 629-648 (2023). MSC: 33C45 42C05 26C10 12D10 PDFBibTeX XMLCite \textit{J. Arvesú} et al., Ramanujan J. 61, No. 2, 629--648 (2023; Zbl 07695121) Full Text: DOI arXiv
Driver, Kathy (ed.); Holtz, Olga (ed.); Sokal, Alan (ed.) The Laguerre-Pólya class and combinatorics. Abstracts from the workshop held March 13–19, 2022. (English) Zbl 1506.00066 Oberwolfach Rep. 19, No. 1, 657-681 (2022). MSC: 00B05 00B25 30-06 05-06 26Cxx 30Dxx 05Cxx 11Mxx 32Axx 37Fxx 11Y65 15A15 15B05 30B70 30H15 33C45 42C05 82B20 82C20 PDFBibTeX XMLCite \textit{K. Driver} (ed.) et al., Oberwolfach Rep. 19, No. 1, 657--681 (2022; Zbl 1506.00066) Full Text: DOI
Arvesú, J.; Driver, K.; Littlejohn, L. Interlacing of zeros of Laguerre polynomials of equal and consecutive degree. (English) Zbl 1491.33008 Integral Transforms Spec. Funct. 32, No. 5-8, 346-360 (2021). Reviewer: Małgorzata Michalska (Lublin) MSC: 33C45 PDFBibTeX XMLCite \textit{J. Arvesú} et al., Integral Transforms Spec. Funct. 32, No. 5--8, 346--360 (2021; Zbl 1491.33008) Full Text: DOI arXiv
Bihun, Oksana; Driver, Kathy Orthogonal sequences constructed from quasi-orthogonal ultraspherical polynomials. (English) Zbl 1458.33007 Numer. Algorithms 85, No. 2, 503-522 (2020). Reviewer: Adhemar Bultheel (Leuven) MSC: 33C50 42C05 PDFBibTeX XMLCite \textit{O. Bihun} and \textit{K. Driver}, Numer. Algorithms 85, No. 2, 503--522 (2020; Zbl 1458.33007) Full Text: DOI arXiv
Driver, Kathy; Muldoon, Martin E. Sharp parameter intervals for interlacing of zeros of equal degree Laguerre polynomials. (English) Zbl 1447.33007 J. Approx. Theory 248, Article ID 105303, 5 p. (2019). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 33C45 33C10 PDFBibTeX XMLCite \textit{K. Driver} and \textit{M. E. Muldoon}, J. Approx. Theory 248, Article ID 105303, 5 p. (2019; Zbl 1447.33007) Full Text: DOI
Brezinski, Claude; Driver, Kathy A.; Redivo-Zaglia, Michela Zeros of quadratic quasi-orthogonal order 2 polynomials. (English) Zbl 1507.33008 Appl. Numer. Math. 135, 143-145 (2019). MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{C. Brezinski} et al., Appl. Numer. Math. 135, 143--145 (2019; Zbl 1507.33008) Full Text: DOI
Driver, Kathy; Jordaan, Kerstin Zeros of Jacobi polynomials \(P_{n}^{(\alpha ,\beta)} \), \(- 2 < \alpha\), \(\beta < -1\). (English) Zbl 1404.33006 Numer. Algorithms 79, No. 4, 1075-1085 (2018). Reviewer: Peter Massopust (München) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{K. Driver} and \textit{K. Jordaan}, Numer. Algorithms 79, No. 4, 1075--1085 (2018; Zbl 1404.33006) Full Text: DOI
Driver, Kathy; Jooste, Alta Interlacing of zeros of quasi-orthogonal Meixner polynomials. (English) Zbl 1423.33011 Quaest. Math. 40, No. 4, 477-490 (2017). MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{K. Driver} and \textit{A. Jooste}, Quaest. Math. 40, No. 4, 477--490 (2017; Zbl 1423.33011) Full Text: DOI Link
Driver, Kathy; Muldoon, Martin E. Bounds for extreme zeros of quasi-orthogonal ultraspherical polynomials. (English) Zbl 1424.33023 J. Class. Anal. 9, No. 1, 69-78 (2016). MSC: 33C45 PDFBibTeX XMLCite \textit{K. Driver} and \textit{M. E. Muldoon}, J. Class. Anal. 9, No. 1, 69--78 (2016; Zbl 1424.33023) Full Text: DOI arXiv
Driver, Kathy; Muldoon, Martin E. Zeros of quasi-orthogonal ultraspherical polynomials. (English) Zbl 1350.30008 Indag. Math., New Ser. 27, No. 4, 930-944 (2016). Reviewer: Adhemar Bultheel (Leuven) MSC: 30C10 33C45 26C10 PDFBibTeX XMLCite \textit{K. Driver} and \textit{M. E. Muldoon}, Indag. Math., New Ser. 27, No. 4, 930--944 (2016; Zbl 1350.30008) Full Text: DOI
Driver, Kathy; Jordaan, Kerstin Zeros of quasi-orthogonal Jacobi polynomials. (English) Zbl 1339.33014 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 042, 13 p. (2016). MSC: 33C50 42C05 PDFBibTeX XMLCite \textit{K. Driver} and \textit{K. Jordaan}, SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 042, 13 p. (2016; Zbl 1339.33014) Full Text: DOI arXiv
Driver, Kathy; Muldoon, Martin E. Interlacing properties and bounds for zeros of some quasi-orthogonal Laguerre polynomials. (English) Zbl 1331.33020 Comput. Methods Funct. Theory 15, No. 4, 645-654 (2015). MSC: 33C45 26C10 PDFBibTeX XMLCite \textit{K. Driver} and \textit{M. E. Muldoon}, Comput. Methods Funct. Theory 15, No. 4, 645--654 (2015; Zbl 1331.33020) Full Text: DOI
Driver, Kathy; Muldoon, Martin E. Common and interlacing zeros of families of Laguerre polynomials. (English) Zbl 1312.33027 J. Approx. Theory 193, 89-98 (2015). Reviewer: Renato Alvarez-Nodarse (Sevilla) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{K. Driver} and \textit{M. E. Muldoon}, J. Approx. Theory 193, 89--98 (2015; Zbl 1312.33027) Full Text: DOI
Driver, Kathy; Muldoon, Martin E. Zeros of pseudo-ultraspherical polynomials. (English) Zbl 1301.33011 Anal. Appl., Singap. 12, No. 5, 563-581 (2014). MSC: 33C45 33C47 PDFBibTeX XMLCite \textit{K. Driver} and \textit{M. E. Muldoon}, Anal. Appl., Singap. 12, No. 5, 563--581 (2014; Zbl 1301.33011) Full Text: DOI
Driver, K.; Jordaan, K. Inequalities for extreme zeros of some classical orthogonal and \(q\)-orthogonal polynomials. (English) Zbl 1262.33009 Math. Model. Nat. Phenom. 8, No. 1, 48-59 (2013). MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{K. Driver} and \textit{K. Jordaan}, Math. Model. Nat. Phenom. 8, No. 1, 48--59 (2013; Zbl 1262.33009) Full Text: DOI
Driver, K.; Jordaan, K. Bounds for extreme zeros of some classical orthogonal polynomials. (English) Zbl 1262.33008 J. Approx. Theory 164, No. 9, 1200-1204 (2012). Reviewer: Carsten Schneider (Linz) MSC: 33C45 33C52 PDFBibTeX XMLCite \textit{K. Driver} and \textit{K. Jordaan}, J. Approx. Theory 164, No. 9, 1200--1204 (2012; Zbl 1262.33008) Full Text: DOI arXiv
Driver, Kathy Interlacing of zeros of Gegenbauer polynomials of non-consecutive degree from different sequences. (English) Zbl 1236.42022 Numer. Math. 120, No. 1, 35-44 (2012). Reviewer: Peter Massopust (München) MSC: 42C05 33C50 PDFBibTeX XMLCite \textit{K. Driver}, Numer. Math. 120, No. 1, 35--44 (2012; Zbl 1236.42022) Full Text: DOI
Driver, K.; Jooste, A.; Jordaan, K. Stieltjes interlacing of zeros of Jacobi polynomials from different sequences. (English) Zbl 1293.33011 ETNA, Electron. Trans. Numer. Anal. 38, 317-326 (2011). MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{K. Driver} et al., ETNA, Electron. Trans. Numer. Anal. 38, 317--326 (2011; Zbl 1293.33011) Full Text: EMIS
Driver, Kathy; Jordaan, Kerstin Stieltjes interlacing of zeros of Laguerre polynomials from different sequences. (English) Zbl 1252.33010 Indag. Math., New Ser. 21, No. 3-4, 204-211 (2011). Reviewer: Nele De Schepper (Gent) MSC: 33C50 42C05 PDFBibTeX XMLCite \textit{K. Driver} and \textit{K. Jordaan}, Indag. Math., New Ser. 21, No. 3--4, 204--211 (2011; Zbl 1252.33010) Full Text: DOI arXiv
Beardon, Alan; Driver, Kathy; Jordaan, Kerstin Zeros of polynomials embedded in an orthogonal sequence. (English) Zbl 1242.26013 Numer. Algorithms 57, No. 3, 399-403 (2011). Reviewer: Armin Rainer (Wien) MSC: 26C10 33C45 42C05 PDFBibTeX XMLCite \textit{A. Beardon} et al., Numer. Algorithms 57, No. 3, 399--403 (2011; Zbl 1242.26013) Full Text: DOI Link
Dominici, Diego; Driver, Kathy; Jordaan, Kerstin Polynomial solutions of differential-difference equations. (English) Zbl 1219.33009 J. Approx. Theory 163, No. 1, 41-48 (2011). Reviewer: Carsten Schneider (Linz) MSC: 33C45 PDFBibTeX XMLCite \textit{D. Dominici} et al., J. Approx. Theory 163, No. 1, 41--48 (2011; Zbl 1219.33009) Full Text: DOI arXiv
Driver, Kathy A note on the interlacing of zeros and orthogonality. (English) Zbl 1184.42020 J. Approx. Theory 161, No. 2, 508-510 (2009). Reviewer: Alicia Cachafeiro López (Vigo) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{K. Driver}, J. Approx. Theory 161, No. 2, 508--510 (2009; Zbl 1184.42020) Full Text: DOI
Driver, Kathy; Jordaan, Kerstin Zeros of linear combinations of Laguerre polynomials from different sequences. (English) Zbl 1196.33007 J. Comput. Appl. Math. 233, No. 3, 719-722 (2009). MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{K. Driver} and \textit{K. Jordaan}, J. Comput. Appl. Math. 233, No. 3, 719--722 (2009; Zbl 1196.33007) Full Text: DOI arXiv
Driver, Kathy; Jordaan, Kerstin; Mbuyi, Norbert Interlacing of zeros of linear combinations of classical orthogonal polynomials from different sequences. (English) Zbl 1179.33011 Appl. Numer. Math. 59, No. 10, 2424-2429 (2009). Reviewer: Alicia Cachafeiro López (Vigo) MSC: 33C45 42C05 33C47 PDFBibTeX XMLCite \textit{K. Driver} et al., Appl. Numer. Math. 59, No. 10, 2424--2429 (2009; Zbl 1179.33011) Full Text: DOI
Driver, Kathy; Jordaan, Kerstin; Mbuyi, Norbert On the interlacing of zeros of linear combinations of Jacobi polynomials from different sequences. (English) Zbl 1173.42318 Quaest. Math. 32, No. 1, 47-54 (2009). Reviewer: Leonid Golinskii (Kharkov) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{K. Driver} et al., Quaest. Math. 32, No. 1, 47--54 (2009; Zbl 1173.42318) Full Text: DOI
Driver, Kathy; Jordaan, Kerstin; Mbuyi, Norbert Interlacing of the zeros of Jacobi polynomials with different parameters. (English) Zbl 1169.30002 Numer. Algorithms 49, No. 1-4, 143-152 (2008). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 30C15 33C45 42C05 PDFBibTeX XMLCite \textit{K. Driver} et al., Numer. Algorithms 49, No. 1--4, 143--152 (2008; Zbl 1169.30002) Full Text: DOI
Driver, K; Jordaan, K Zeros of the hypergeometric polynomial F(-n,b;c;z). arXiv:0812.0708 Preprint, arXiv:0812.0708 [math.CA] (2008). MSC: 33C45 BibTeX Cite \textit{K Driver} and \textit{K Jordaan}, ``Zeros of the hypergeometric polynomial F(-n,b;c;z)'', Preprint, arXiv:0812.0708 [math.CA] (2008) Full Text: arXiv OA License
Driver, Kathy; Stahl, Herbert The uniqueness of an orthogonality measure. (English) Zbl 1141.42017 J. Comput. Appl. Math. 207, No. 2, 180-185 (2007). Reviewer: Alicia Cachafeiro López (Vigo) MSC: 42C05 33C45 33C47 PDFBibTeX XMLCite \textit{K. Driver} and \textit{H. Stahl}, J. Comput. Appl. Math. 207, No. 2, 180--185 (2007; Zbl 1141.42017) Full Text: DOI
Aharonov, Dov; Beardon, Alan; Driver, Kathy Fibonacci, Chebyshev, and orthogonal polynomials. (English) Zbl 1138.11308 Am. Math. Mon. 112, No. 7, 612-630 (2005). MSC: 11B39 01A35 01A45 01A55 33C45 PDFBibTeX XMLCite \textit{D. Aharonov} et al., Am. Math. Mon. 112, No. 7, 612--630 (2005; Zbl 1138.11308) Full Text: DOI
Beardon, A. F.; Driver, K. A. The zeros of linear combinations of orthogonal polynomials. (English) Zbl 1088.42012 J. Approximation Theory 137, No. 2, 179-186 (2005). Reviewer: Aleksey A. Dovgoshey (Donetsk) MSC: 42C05 65D32 PDFBibTeX XMLCite \textit{A. F. Beardon} and \textit{K. A. Driver}, J. Approx. Theory 137, No. 2, 179--186 (2005; Zbl 1088.42012) Full Text: DOI
Brezinski, C.; Driver, K. A.; Redivo-Zaglia, M. Quasi-orthogonality with applications to some families of classical orthogonal polynomials. (English) Zbl 1047.33002 Appl. Numer. Math. 48, No. 2, 157-168 (2004). Reviewer: Aleksey A. Dovgoshey (Donetsk) MSC: 33C45 PDFBibTeX XMLCite \textit{C. Brezinski} et al., Appl. Numer. Math. 48, No. 2, 157--168 (2004; Zbl 1047.33002) Full Text: DOI
Driver, Kathy; Möller, Manfred Quadratic and cubic transformations and zeros of hypergeometric polynomials. (English) Zbl 1001.33003 J. Comput. Appl. Math. 142, No. 2, 411-417 (2002). Reviewer: Per W.Karlsson (Lyngby) MSC: 33C45 33C05 30C15 PDFBibTeX XMLCite \textit{K. Driver} and \textit{M. Möller}, J. Comput. Appl. Math. 142, No. 2, 411--417 (2002; Zbl 1001.33003) Full Text: DOI
Driver, Kathy; Duren, Peter Zeros of ultraspherical polynomials and the Hilbert-Klein formulas. (English) Zbl 0993.33008 J. Comput. Appl. Math. 135, No. 2, 293-301 (2001). Reviewer: Renato Alvarez-Nodarse (Sevilla) MSC: 33C45 PDFBibTeX XMLCite \textit{K. Driver} and \textit{P. Duren}, J. Comput. Appl. Math. 135, No. 2, 293--301 (2001; Zbl 0993.33008) Full Text: DOI
Driver, K. A.; Love, A. D. Zeros of \({}_3 F_2\) hypergeoemtric polynomials. (English) Zbl 0987.33003 J. Comput. Appl. Math. 131, No. 1-2, 243-251 (2001). Reviewer: Per W.Karlsson (Lyngby) MSC: 33C45 33C20 30C15 PDFBibTeX XMLCite \textit{K. A. Driver} and \textit{A. D. Love}, J. Comput. Appl. Math. 131, No. 1--2, 243--251 (2001; Zbl 0987.33003) Full Text: DOI
Driver, Kathy; Möller, Manfred Zeros of hypergeometric polynomials \(F(-n,b;-2n;z)\). (English) Zbl 0996.33008 J. Approximation Theory 110, No. 1, 74-87 (2001). Reviewer: Andrei Martínez Finkelshtein (Almeria) MSC: 33C45 PDFBibTeX XMLCite \textit{K. Driver} and \textit{M. Möller}, J. Approx. Theory 110, No. 1, 74--87 (2001; Zbl 0996.33008) Full Text: DOI
Driver, K.; Duren, P. Trajectories of the zeros of hypergeometric polynomials \(F(-n, b; 2b; z)\) for \(b< -\frac{1}{2}\). (English) Zbl 0987.33001 Constructive Approximation 17, No. 2, 169-179 (2001). Reviewer: Andrei Martínez Finkelshtein (Almeria) MSC: 33C05 33C45 30C15 PDFBibTeX XMLCite \textit{K. Driver} and \textit{P. Duren}, Constr. Approx. 17, No. 2, 169--179 (2001; Zbl 0987.33001) Full Text: DOI
Driver, Kathy; Duren, Peter Zeros of the hypergeometric polynomials \(F(-n,b;2b;z)\). (English) Zbl 0969.33003 Indag. Math., New Ser. 11, No. 1, 43-51 (2000). Reviewer: Robert G.Buschman (Langlois) MSC: 33C05 33C45 PDFBibTeX XMLCite \textit{K. Driver} and \textit{P. Duren}, Indag. Math., New Ser. 11, No. 1, 43--51 (2000; Zbl 0969.33003) Full Text: DOI
Driver, Kathy; Duren, Peter Asymptotic zero distribution of hypergeometric polynomials. (English) Zbl 0935.33004 Numer. Algorithms 21, No. 1-4, 147-156 (1999). Reviewer: J.Saurer (Regensburg) MSC: 33C20 33C45 PDFBibTeX XMLCite \textit{K. Driver} and \textit{P. Duren}, Numer. Algorithms 21, No. 1--4, 147--156 (1999; Zbl 0935.33004) Full Text: DOI
Driver, K. A.; Lubinsky, D. S. Convergence of Padé approximants for a \(q\)-hypergeometric series (Wynn’s power series III). (English) Zbl 0767.41019 Aequationes Math. 45, No. 1, 1-23 (1993). MSC: 41A21 33C45 30E05 PDFBibTeX XMLCite \textit{K. A. Driver} and \textit{D. S. Lubinsky}, Aequationes Math. 45, No. 1, 1--23 (1993; Zbl 0767.41019) Full Text: DOI EuDML
Driver, K. A.; Lubinsky, D. S. Convergence of Padé approximants for a \(q\)-hypergeometric series (Wynn’s power series I). (English) Zbl 0746.41021 Aequationes Math. 42, No. 1, 85-106 (1991). Reviewer: G.D.Taylor (Fort Collins) MSC: 41A21 33C45 30E05 PDFBibTeX XMLCite \textit{K. A. Driver} and \textit{D. S. Lubinsky}, Aequationes Math. 42, No. 1, 85--106 (1991; Zbl 0746.41021) Full Text: DOI EuDML
Driver, K. A. \(N\)th root asymptotics for extremal errors associated with slowly decreasing weights. (English) Zbl 0737.42020 Quaest. Math. 14, No. 3, 337-354 (1991). Reviewer: W.Van Assche (Heverlee) MSC: 42C05 41A10 PDFBibTeX XMLCite \textit{K. A. Driver}, Quaest. Math. 14, No. 3, 337--354 (1991; Zbl 0737.42020) Full Text: DOI