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## Jordaan, Kerstin

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 Author ID: jordaan.kerstin Published as: Jordaan, K.; Jordaan, Kerstin Homepage: https://www.unisa.ac.za/sites/corporate/default/Colleges/Economic-and-Management... External Links: MGP · ORCID
 Documents Indexed: 37 Publications since 2002
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#### Co-Authors

 2 single-authored 18 Driver, Kathy A. 5 Toókos, Ferenc 4 Jooste, Alta S. 3 Clarkson, Peter A. 3 Johnston, Sarah Jane 3 Kenfack-Nangho, Maurice 3 Mbuyi, Norbert 2 Dominici, Diego Ernesto 2 Gochhayat, Priyabrat 1 Beardon, Alan Frank 1 Kar, Pinaki Prasad 1 Kelil, Abey 1 Martínez-Finkelshtein, Andrei 1 Raghavendar, Kondooru 1 Swaminathan, Anbhu 1 Wang, Hongsheng 1 Zhou, Jielin
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#### Serials

 5 Journal of Computational and Applied Mathematics 4 Journal of Approximation Theory 4 Numerical Algorithms 3 Applied Numerical Mathematics 2 Numerische Mathematik 2 Quaestiones Mathematicae 2 Indagationes Mathematicae. New Series 2 Integral Transforms and Special Functions 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Mathematical Analysis and Applications 1 Proceedings of the American Mathematical Society 1 Studies in Applied Mathematics 1 Acta Mathematica Hungarica 1 Constructive Approximation 1 ETNA. Electronic Transactions on Numerical Analysis 1 The Ramanujan Journal 1 LMS Journal of Computation and Mathematics 1 Mathematical Modelling of Natural Phenomena
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#### Fields

 37 Special functions (33-XX) 21 Harmonic analysis on Euclidean spaces (42-XX) 7 Functions of a complex variable (30-XX) 4 Ordinary differential equations (34-XX) 3 Real functions (26-XX) 1 Field theory and polynomials (12-XX) 1 Approximations and expansions (41-XX) 1 Numerical analysis (65-XX)

#### Citations contained in zbMATH Open

34 Publications have been cited 204 times in 109 Documents Cited by Year
Interlacing of the zeros of Jacobi polynomials with different parameters. Zbl 1169.30002
Driver, Kathy; Jordaan, Kerstin; Mbuyi, Norbert
2008
Interlacing of zeros of shifted sequences of one-parameter orthogonal polynomials. Zbl 1123.33004
Driver, Kathy; Jordaan, Kerstin
2007
The relationship between semiclassical Laguerre polynomials and the fourth Painlevé equation. Zbl 1321.34115
Clarkson, Peter A.; Jordaan, Kerstin
2014
Bounds for extreme zeros of some classical orthogonal polynomials. Zbl 1262.33008
Driver, K.; Jordaan, K.
2012
Interlacing theorems for the zeros of some orthogonal polynomials from different sequences. Zbl 1175.33003
Jordaan, Kerstin; Toókos, Ferenc
2009
Properties of generalized Freud polynomials. Zbl 1437.33011
Clarkson, Peter A.; Jordaan, Kerstin
2018
A generalized Freud weight. Zbl 1336.33022
Clarkson, Peter A.; Jordaan, Kerstin; Kelil, Abey
2016
Separation theorems for the zeros of certain hypergeometric polynomials. Zbl 1106.33003
Driver, K.; Jordaan, K.
2007
Stieltjes interlacing of zeros of Laguerre polynomials from different sequences. Zbl 1252.33010
Driver, Kathy; Jordaan, Kerstin
2011
Pólya frequency sequences and real zeros of some $$_3F_2$$ polynomials. Zbl 1114.33006
Driver, K.; Jordaan, K.; Martínez-Finkelshtein, A.
2007
Zeros of $$_3F_2\left(\begin{smallmatrix}-n,b,c\\ d,e\end{smallmatrix};z\right)$$ polynomials. Zbl 1007.33001
Driver, K.; Jordaan, K.
2002
Orthogonality and asymptotics of pseudo-Jacobi polynomials for non-classical parameters. Zbl 1282.33013
Jordaan, K.; Toókos, F.
2014
Stieltjes interlacing of zeros of Jacobi polynomials from different sequences. Zbl 1293.33011
Driver, K.; Jooste, A.; Jordaan, K.
2011
Polynomial solutions of differential-difference equations. Zbl 1219.33009
Dominici, Diego; Driver, Kathy; Jordaan, Kerstin
2011
Convergence of ray sequences of Padé approximants for $$_2F_1 (a,1;c;z)$$, $$(c>a>0)$$. Zbl 1046.41007
Driver, K.; Jordaan, K.
2002
Mixed recurrence relations and interlacing of the zeros of some $$q$$-orthogonal polynomials from different sequences. Zbl 1224.26054
Jordaan, K.; Toókos, F.
2010
Asymptotic zero distribution of a class of $$_{3}F_{2}$$ hypergeometric functions. Zbl 1061.33002
Driver, K.; Jordaan, K.
2003
Zeros of quasi-orthogonal Jacobi polynomials. Zbl 1339.33014
Driver, Kathy; Jordaan, Kerstin
2016
Interlacing properties and bounds for zeros of $${}_2\phi_1$$ hypergeometric and little $$q$$-Jacobi polynomials. Zbl 1335.33002
Gochhayat, P.; Jordaan, K.; Raghavendar, K.; Swaminathan, A.
2016
Bounds for zeros of Meixner and Kravchuk polynomials. Zbl 1294.33008
Jooste, A.; Jordaan, K.
2014
Convexity of the zeros of some orthogonal polynomials and related functions. Zbl 1184.33005
Jordaan, Kerstin; Tookos, Ferenc
2009
Quasi-orthogonality of some hypergeometric polynomials. Zbl 1336.33027
Johnston, S. J.; Jooste, A.; Jordaan, K.
2016
Monotonicity of zeros of polynomials orthogonal with respect to an even weight function. Zbl 1297.33009
Jordaan, K.; Wang, H.; Zhou, J.
2014
On the zeros of Meixner polynomials. Zbl 1276.33014
Jooste, A.; Jordaan, K.; Toókos, F.
2013
Zeros of linear combinations of Laguerre polynomials from different sequences. Zbl 1196.33007
Driver, Kathy; Jordaan, Kerstin
2009
Interlacing of zeros of linear combinations of classical orthogonal polynomials from different sequences. Zbl 1179.33011
Driver, Kathy; Jordaan, Kerstin; Mbuyi, Norbert
2009
A characterization of Askey-Wilson polynomials. Zbl 07057711
Kenfack-Nangho, Maurice; Jordaan, Kerstin
2019
Quasi-orthogonality and real zeros of some $$_2F_2$$ and $$_3F_2$$ polynomials. Zbl 1326.33012
Johnston, S. J.; Jordaan, K.
2015
Inequalities for extreme zeros of some classical orthogonal and $$q$$-orthogonal polynomials. Zbl 1262.33009
Driver, K.; Jordaan, K.
2013
Zeros of polynomials embedded in an orthogonal sequence. Zbl 1242.26013
Beardon, Alan; Driver, Kathy; Jordaan, Kerstin
2011
Structure relations of classical orthogonal polynomials in the quadratic and $$q$$-quadratic variable. Zbl 1405.33026
Kenfack Nangho, Maurice; Jordaan, Kerstin
2018
Zeros of Jacobi polynomials $$P_{n}^{(\alpha ,\beta)}$$, $$- 2 < \alpha$$, $$\beta < -1$$. Zbl 1404.33006
Driver, Kathy; Jordaan, Kerstin
2018
Real zeros of $$_2F_1$$ hypergeometric polynomials. Zbl 1264.33006
Dominici, D.; Johnston, S. J.; Jordaan, K.
2013
On the interlacing of zeros of linear combinations of Jacobi polynomials from different sequences. Zbl 1173.42318
Driver, Kathy; Jordaan, Kerstin; Mbuyi, Norbert
2009
A characterization of Askey-Wilson polynomials. Zbl 07057711
Kenfack-Nangho, Maurice; Jordaan, Kerstin
2019
Properties of generalized Freud polynomials. Zbl 1437.33011
Clarkson, Peter A.; Jordaan, Kerstin
2018
Structure relations of classical orthogonal polynomials in the quadratic and $$q$$-quadratic variable. Zbl 1405.33026
Kenfack Nangho, Maurice; Jordaan, Kerstin
2018
Zeros of Jacobi polynomials $$P_{n}^{(\alpha ,\beta)}$$, $$- 2 < \alpha$$, $$\beta < -1$$. Zbl 1404.33006
Driver, Kathy; Jordaan, Kerstin
2018
A generalized Freud weight. Zbl 1336.33022
Clarkson, Peter A.; Jordaan, Kerstin; Kelil, Abey
2016
Zeros of quasi-orthogonal Jacobi polynomials. Zbl 1339.33014
Driver, Kathy; Jordaan, Kerstin
2016
Interlacing properties and bounds for zeros of $${}_2\phi_1$$ hypergeometric and little $$q$$-Jacobi polynomials. Zbl 1335.33002
Gochhayat, P.; Jordaan, K.; Raghavendar, K.; Swaminathan, A.
2016
Quasi-orthogonality of some hypergeometric polynomials. Zbl 1336.33027
Johnston, S. J.; Jooste, A.; Jordaan, K.
2016
Quasi-orthogonality and real zeros of some $$_2F_2$$ and $$_3F_2$$ polynomials. Zbl 1326.33012
Johnston, S. J.; Jordaan, K.
2015
The relationship between semiclassical Laguerre polynomials and the fourth Painlevé equation. Zbl 1321.34115
Clarkson, Peter A.; Jordaan, Kerstin
2014
Orthogonality and asymptotics of pseudo-Jacobi polynomials for non-classical parameters. Zbl 1282.33013
Jordaan, K.; Toókos, F.
2014
Bounds for zeros of Meixner and Kravchuk polynomials. Zbl 1294.33008
Jooste, A.; Jordaan, K.
2014
Monotonicity of zeros of polynomials orthogonal with respect to an even weight function. Zbl 1297.33009
Jordaan, K.; Wang, H.; Zhou, J.
2014
On the zeros of Meixner polynomials. Zbl 1276.33014
Jooste, A.; Jordaan, K.; Toókos, F.
2013
Inequalities for extreme zeros of some classical orthogonal and $$q$$-orthogonal polynomials. Zbl 1262.33009
Driver, K.; Jordaan, K.
2013
Real zeros of $$_2F_1$$ hypergeometric polynomials. Zbl 1264.33006
Dominici, D.; Johnston, S. J.; Jordaan, K.
2013
Bounds for extreme zeros of some classical orthogonal polynomials. Zbl 1262.33008
Driver, K.; Jordaan, K.
2012
Stieltjes interlacing of zeros of Laguerre polynomials from different sequences. Zbl 1252.33010
Driver, Kathy; Jordaan, Kerstin
2011
Stieltjes interlacing of zeros of Jacobi polynomials from different sequences. Zbl 1293.33011
Driver, K.; Jooste, A.; Jordaan, K.
2011
Polynomial solutions of differential-difference equations. Zbl 1219.33009
Dominici, Diego; Driver, Kathy; Jordaan, Kerstin
2011
Zeros of polynomials embedded in an orthogonal sequence. Zbl 1242.26013
Beardon, Alan; Driver, Kathy; Jordaan, Kerstin
2011
Mixed recurrence relations and interlacing of the zeros of some $$q$$-orthogonal polynomials from different sequences. Zbl 1224.26054
Jordaan, K.; Toókos, F.
2010
Interlacing theorems for the zeros of some orthogonal polynomials from different sequences. Zbl 1175.33003
Jordaan, Kerstin; Toókos, Ferenc
2009
Convexity of the zeros of some orthogonal polynomials and related functions. Zbl 1184.33005
Jordaan, Kerstin; Tookos, Ferenc
2009
Zeros of linear combinations of Laguerre polynomials from different sequences. Zbl 1196.33007
Driver, Kathy; Jordaan, Kerstin
2009
Interlacing of zeros of linear combinations of classical orthogonal polynomials from different sequences. Zbl 1179.33011
Driver, Kathy; Jordaan, Kerstin; Mbuyi, Norbert
2009
On the interlacing of zeros of linear combinations of Jacobi polynomials from different sequences. Zbl 1173.42318
Driver, Kathy; Jordaan, Kerstin; Mbuyi, Norbert
2009
Interlacing of the zeros of Jacobi polynomials with different parameters. Zbl 1169.30002
Driver, Kathy; Jordaan, Kerstin; Mbuyi, Norbert
2008
Interlacing of zeros of shifted sequences of one-parameter orthogonal polynomials. Zbl 1123.33004
Driver, Kathy; Jordaan, Kerstin
2007
Separation theorems for the zeros of certain hypergeometric polynomials. Zbl 1106.33003
Driver, K.; Jordaan, K.
2007
Pólya frequency sequences and real zeros of some $$_3F_2$$ polynomials. Zbl 1114.33006
Driver, K.; Jordaan, K.; Martínez-Finkelshtein, A.
2007
Asymptotic zero distribution of a class of $$_{3}F_{2}$$ hypergeometric functions. Zbl 1061.33002
Driver, K.; Jordaan, K.
2003
Zeros of $$_3F_2\left(\begin{smallmatrix}-n,b,c\\ d,e\end{smallmatrix};z\right)$$ polynomials. Zbl 1007.33001
Driver, K.; Jordaan, K.
2002
Convergence of ray sequences of Padé approximants for $$_2F_1 (a,1;c;z)$$, $$(c>a>0)$$. Zbl 1046.41007
Driver, K.; Jordaan, K.
2002
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#### Cited by 133 Authors

 25 Jordaan, Kerstin 18 Driver, Kathy A. 8 Jooste, Alta S. 6 Filipuk, Galina V. 5 Dimitrov, Dimitar K. 5 Muldoon, Martin E. 5 Toókos, Ferenc 4 Dominici, Diego Ernesto 4 Rafaeli, Fernando Rodrigo 3 Area, Iván 3 Clarkson, Peter A. 3 Deaño, Alfredo 3 Godoy, Eduardo Paciência 3 Koepf, Wolfram A. 3 Marcellán Español, Francisco 3 Occorsio, Donatella 3 Rebocho, M. N. 3 Zhou, Jianrong 3 Ziętak, Krystyna 2 Bustamante González, Jorge 2 Chen, Yang 2 Chen, Yang 2 Gochhayat, Priyabrat 2 Gomilko, Oleksandr 2 Huertas Cejudo, Edmundo José 2 Ismail, Mourad El-Houssieny 2 Johnston, Sarah Jane 2 Karp, Dmitriĭ Borisovich 2 Kenfack-Nangho, Maurice 2 Lorente, Anier Soria 2 Mañas-Mañas, Juan F. 2 Martínez-Cruz, Reinaldo 2 Mbuyi, Norbert 2 Nikolov, Geno P. 2 Paschoa, Vanessa G. 2 Quesada, José María 2 Raghavendar, Kondooru 2 Russo, Maria Grazia 2 Srivastava, Hari Mohan 2 Tcheutia, Daniel Duviol 2 van Diejen, Jan Felipe 2 Wang, Zhigang 2 Zhu, Mengkun 1 Aceto, Lidia 1 Alfaro García, Manuel 1 Balabdaoui, Fadoua 1 Bassom, Andrew P. 1 Beckermann, Bernhard 1 Behera, Kiran Kumar 1 Bertaccini, Daniele 1 Bihun, Oksana 1 Blaschke, Petr 1 Bogdanov, D. V. 1 Borghi, Riccardo 1 Borrego-Morell, J. 1 Branquinho, Amílcar José Pinto Lopes 1 Brix, Kolja 1 Canuto, Claudio 1 Castillo, Kenier 1 Charalambides, Marios 1 Charlier, Christophe 1 Chern, Huahuai 1 Costas-Santos, Roberto S. 1 Csordas, George 1 Dahmen, Wolfgang A. 1 das Neves Rebocho, Maria 1 De Fournas-Labrosse, Gabriella 1 de Klerk, Etienne 1 Dubickas, Artūras 1 Duh, Guan-Huei 1 Duran, Antonio J. 1 Durastante, Fabio 1 Emsiz, Erdal 1 Erb, Wolfgang 1 Foulquié Moreno, Ana Pilar 1 García-Ardila, Juan Carlos 1 Garza, Luis E. 1 Giguelay, Jade 1 Greco, Federico 1 Han, Pengju 1 He, Bing 1 Hwang, Hsien-Kuei 1 Iserles, Arieh 1 Kalmykov, Sergeĭ Ivanovich 1 Kar, Pinaki Prasad 1 Kelil, Abey 1 Kimura, Hironobu 1 Krasikov, Ilia 1 Laurent, Monique 1 Lin, Minghua 1 Lubinsky, Doron S. 1 Lun, Yen Chi 1 Magnus, Alphonse Ph. 1 Mañas, Manuel 1 Marriaga, Misael E. 1 Martínez-Finkelshtein, Andrei 1 Moreno-Balcázar, Juan José 1 Naidenov, Nikola 1 Ndayiragije, François 1 Novati, Paolo ...and 33 more Authors
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#### Cited in 42 Serials

 11 Journal of Approximation Theory 9 Numerical Algorithms 7 Proceedings of the American Mathematical Society 7 Applied Numerical Mathematics 6 Journal of Mathematical Analysis and Applications 5 Journal of Computational and Applied Mathematics 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Applied Mathematics and Computation 4 Numerische Mathematik 4 Integral Transforms and Special Functions 4 Random Matrices: Theory and Applications 3 Mathematics of Computation 2 Calcolo 2 Acta Mathematica Hungarica 2 Journal of Difference Equations and Applications 2 Computational Methods and Function Theory 2 Analysis and Applications (Singapore) 1 Analysis Mathematica 1 Journal of Computational Physics 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Mathematische Nachrichten 1 Mathematics of Operations Research 1 Mathematische Zeitschrift 1 Quaestiones Mathematicae 1 Results in Mathematics 1 Studies in Applied Mathematics 1 Advances in Applied Mathematics 1 Chinese Annals of Mathematics. Series B 1 SIAM Journal on Mathematical Analysis 1 Indagationes Mathematicae. New Series 1 Experimental Mathematics 1 The Journal of Analysis 1 Numerical Linear Algebra with Applications 1 The Ramanujan Journal 1 LMS Journal of Computation and Mathematics 1 Foundations of Computational Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Mediterranean Journal of Mathematics 1 Journal of Statistical Mechanics: Theory and Experiment 1 Electronic Journal of Statistics 1 Afrika Matematika
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#### Cited in 24 Fields

 88 Special functions (33-XX) 34 Harmonic analysis on Euclidean spaces (42-XX) 20 Functions of a complex variable (30-XX) 18 Ordinary differential equations (34-XX) 17 Numerical analysis (65-XX) 13 Approximations and expansions (41-XX) 12 Real functions (26-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 5 Partial differential equations (35-XX) 5 Probability theory and stochastic processes (60-XX) 4 Combinatorics (05-XX) 3 Field theory and polynomials (12-XX) 3 Difference and functional equations (39-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Number theory (11-XX) 2 Integral transforms, operational calculus (44-XX) 2 Operator theory (47-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX)