Department of Decision Sciences

Prof KH Jordaan

College of Economic and Management Sciences
School of Economic and Financial Sciences
Department: Decision Sciences
Professor
Tel: 012 433 4620
E-mail: jordakh@unisa.ac.za

Qualifications

  • BSc (UP)
  • H.Dip.Ed. (UP)
  • BSc(Hons) (WITS)
  • MSc (UP)
  • PhD (WITS)

NRF Rating

C2

Currently teaching

  • Financial Modelling
  • Stochastic Calculus
  • Masters and PhD supervisor

Fields of academic interests

  • Financial Mathematics
  • Mathematical Analysis
  • Approximation Theory

Field of Specialisation

  • Orthogonal polynomials and Special Functions

Journal articles

  • K Driver, K. Jordaan, Zeros of quasi-orthogonal Jacobi polynomials, SIGMA, 12 (2016), 042, 13 pages.
  • PA Clarkson, K Jordaan, & A Kelil, A generalized Freud weight, Studies in Applied Mathematics, 136 (2016), 288-320.
  • SJ Johnston, A Jooste, K Jordaan, Quasi-orthogonality of some hypergeometric polynomials, Integral transforms and Special Functions, 27 (2) (2016), 111-125.
  • P Gochhayat, K Jordaan, K Raghavendar, A Swaminathan, Interlacing properties and bounds for zeros of basic hypergeometric and little q-Jacobi polynomials, Ramanujan Journal, 40 (2016), 45-62.
  • SJ Johnston, K Jordaan, Quasi-orthogonality and real zeros of some 2F2 and 3F2 polynomials. Applied Numerical Mathematics, 90 (2015) 1-8.
  • K Jordaan, H Wang, J Zhou, Monotonicity of zeros of polynomials orthogonal with respect to an even weight function, Integral Transforms and Special Functions. 25 (9) (2014), 721-729.  
  • K Jordaan, A Jooste, Bounds for zeros of Meixner and Kravchuk polynomials, London Mathematical Society Journal of Computation and Mathematics, 17 (1) (2014) 47-57. 
  • K Jordaan, F Toókos, Orthogonality and asymptotics of Pseudo-Jacobi polynomials for non-classical parameters, Journal of Approximation Theory, 178 (2014), 1-12.
  • PA Clarkson, K Jordaan, The relationship between semi-classical Laguerre polynomials and the fourth Painlevé equation, Constructive Approximation 39(1) (2014), 223-254.
  • A Jooste, K Jordaan, F Toókos, On the zeros of Meixner polynomials, Numerische Mathematik, 127(1) (2013), 57-71.
  • K Driver, K Jordaan, Inequalities for extreme zeros of some classical orthogonal and q-orthogonal polynomials, Mathematical Modelling of Natural Phenomena, 8(1) (2013), 48-59.
  • D Dominici, SJ Johnston, K Jordaan, Real Zeros of Gauss Hypergeometric Polynomials, Journal of Computational and Applied Mathematics. 247 (2013), 152–161.
  • K Driver, & K Jordaan, Bounds for extreme zeros of some classical orthogonal polynomials, Journal of Approximation Theory, 164 (2012), 1200-1204.
  • K Driver, A Jooste, K Jordaan, Stieltjes interlacing of zeros of Jacobi polynomials from different sequences, Electronic Transactions on Numerical Analysis, 38 (2011), 317-326.
  • D Dominici, K Driver, K Jordaan, Polynomial solutions of differential-difference equations, Journal of Approximation Theory, 163 (2011), 41-48.
  • A Beardon, K Driver, K Jordaan, Zeros of polynomials embedded in an orthogonal sequence, Numerical Algorithms, 57 (2011), 399-403.
  • K Driver, & K Jordaan,Stieltjes interlacing of zeros of Laguerre polynomials from different sequences, Indagationes Mathematicae, 21 (2011), 204–211.
  • K Jordaan, F Toókos, Mixed relations and interlacing of the zeros of some q-orthogonal polynomials from different sequences, Acta Mathematica Hungarica, 128 (1-2) (2010), 150-164.
  • K Driver, K Jordaan, N Mbuyi, On the interlacing of zeros of linear combinations of Jacobi polynomials from different sequences, Quaestiones Mathematicae, 32(1) (2009), 47-54.
  • K Jordaan, F Toókos, Interlacing theorems for the zeros of orthogonal polynomials from different sequences, Applied Numerical Mathematics, 59 (2009), 2015-2222.
  • K Driver, K Jordaan, N Mbuyi, Interlacing of zeros of linear combinations of classical orthogonal polynomials from different sequences, Applied Numerical Mathematics, 59 (2009), 2424-2429.
  • K Jordaan, F Toókos, Convexity of the zeros of some orthogonal polynomials and related functions, Journal of Computational and Applied Mathematics, 233 (2009), 762-767.
  • K Driver, K Jordaan, Zeros of linear combinations of Laguerre polynomials from different sequences, Journal of Computational and Applied Mathematics, 233 (2009), 719-722. 
  • K Driver, K Jordaan, N Mbuyi, Interlacing of the zeros of Jacobi polynomials with different parameters, Numerical Algorithms, 49 (2008), 143-152.
  • K Driver,  K Jordaan, Interlacing of zeros of shifted sequences of one-parameter orthogonal polynomials, Numerische Mathematik, 107  (2007), 615-624.
  • K Driver, K Jordaan,  A Martínez-Finkelshtein, Pólya frequency sequences and real zeros of some 3F2 polynomials, Journal of Mathematical Analysis and Applications, 332 (2007), 1045-1055.
  • K Driver, K Jordaan, Interlacing of zeros of shifted sequences of one-parameter orthogonal polynomials, Numerische Mathematik, 107 (2007), 615-624.
  • K Driver, K Jordaan, Asymptotic zero distribution of a class of 3F2 hypergeometric functions, Indagationes Mathematicae, New Series, 14 (3,4), (2003), 319-327.
  • K Driver, K Jordaan, Asymptotic zero distribution of a class of 3F2 hypergeometric functions, Indagationes Mathematicae, New Series, 14 (3,4), (2003),  319-327.
  •  K Driver, K Jordaan, Convergence of ray sequences of Padé      approximants for 2 F1(a,1;c;z), c>a>0, Quaestiones Mathematicae, 25 (2002), 1-7. 
  • K Driver, & K Jordaan, Zeros of the hypergeometric polynomial F(-n, b; c; z) ,  Algorithms for Approximation   IV, Proceedings of the 2001 International Symposium, (2002),  436-445.

Professional positions, fellowships & awards

Academic and Scientific citizenship

  • President: South African Mathematical Society
  • Chairperson: Board of Directors of the South African Mathematical Society.

Awards and Scientific scholarly recognition

  • Associate research fellow: African Institute Mathematical Analysis
  • ISI h-index: 7
  • Scopus h-index: 8
  • Google Scholar profile h-index: 8
  • Google Scholar i-10 index:

African Institute for Mathematical Sciences