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

B3

Currently teaching

  • DSC4830 Honours Research Project

Fields of academic interests

  • Mathematical Analysis

Field of Specialisation

  • Special Functions and Integrable Systems
  • Orthogonal Polynomials
  • Asymptotic Analysis

Journal articles

Publications in the last five years:

  • A S Jooste and K Jordaan, On zeros of quasi-orthogonal Meixner polynomials, Dolomites Research Notes on Approximation, 16(3) (2023), 48-56. DOI: 14658/PUPJ-DRNA-2023-3-7
  • P A Clarkson, K. Jordaan and A Loureiro, Generalised Higher Order Freud weights, Proceedings of the Royal Society A, 479 (2023), 20220788. DOI: 1098/rspa.2022.0788.
  • K Jordaan, & M Kenfack Nangho, Indeterminate moment problem associated with Continuous Dual q-Hahn polynomials, Journal of Difference Equations and Applications, 29(2) (2023), 165-180 DOI: 1080/10236198.2023.2186329
  • PP Kar, K Jordaan, & P Gochhayat, Stieltjes Interlacing of little q-Jacobi and q-Laguerre polynomials from different sequences, Numerical Algorithms, 92 (2023) 723-746  DOI: 1007/211075-022-01387-8
  • P A Clarkson and K. Jordaan, Generalised Airy polynomials,  Phys. A: Math. Theor. 54(18) (2021) 185202 (28pp). DOI: 10.1088/1751-8121/abf019
  • P A Clarkson, & K Jordaan, A generalised Sextic Freud Weight, Integral Transforms and Special Functions, 32(5-8) (2021), 458-482. DOI: 1080/10652469.2020.1798949
  • K Jordaan, Zeros of orthogonal polynomials, Tutorials, Schools, and Workshops in the Mathematical Sciences: Orthogonal Polynomials, Springer Nature; Birkhäuser, Chapter 17, 2020. DOI: 1007/978-3-030-36744-2_17
  • K Jordaan, Properties of certain classes of Semiclassical Orthogonal Polynomials, Tutorials, Schools, and Workshops in the Mathematical Sciences: Orthogonal Polynomials     Springer Nature; Birkhäuser, Chapter 18, 2020. DOI: 1007/978-3-030-36744-2_18
  • P P Kar, K Jordaan, P Gochhayat, & M K Nangho, Quasi-orthogonality and zeros of 2Φ2and 3Φ2 polynomials, Journal of Computational and Applied Mathematics, 377 (2020), 1-13. DOI: 1016/j.cam.2020.112910
  • M Kenfack Nangho, & K Jordaan, A characterization of Askey-Wilson polynomials, Proceedings of the American Mathematical Society, 147(6) (2019). DOI: 2465-2480 10.1090/proc/14317
  • M Kenfack Nangho, & K Jordaan, Structure relations of classical orthogonal polynomials of the quadratic and q-quadratic variable, SIGMA,14 (2018) 26 pages. DOI: 3842/SIGMA.2018.126. 
  • K Driver, & K Jordaan, Zeros of Jacobi polynomials Pn(α,β) , -2<α,β<-1, Numerical Algorithms, 79 (4) (2018), 1075-1085. DOI: 1007/s11075-018-0474-6
  • PA Clarkson, & K Jordaan, Properties of generalized Freud polynomials, Journal of Approximation Theory, 225 (2018), 148-175. DOI: 1016/j.jat.2017.10.001

 

Paper presentations

More than 50 invited and contributed talks given at national and international conferences and seminar series in Austria, Brazil, Cameroon, Denmark, Finland, France, Germany, Hungary, India, Italy, Japan, Netherlands, Portugal, Spain, Uruguay, UK and USA, including the following plenary/keynote/full-length talks:

  • General symmetric sextic Freud polynomials, Annual Congress of the South African Mathematical Society, 5–7 December 2023.
  • Indeterminate moment problem associated with a limiting case of Askey-Wilson polynomials, Functional Analysis and Operator Theory South Africa workshop, Mpumalanga, South Africa, 5 July 2023.
  • Generalised Higher-order Freud Weights, Ibero-American Research Network on Orthogonal Polynomials, Functional Equations and Applications , Online on 30 June, 2023.
  • Freud weights and beyond, Orthogonal Polynomials and Applications, KU Leuven, Belgium, 9 June 2023.
  • Generalised Higher Order Freud Weights, Integrable systems (hybrid) Seminar Series, University of Leeds, 26 May 2023.
  • My mathematical journey, African Women in Mathematics Symposium, Online, 12 May 2021.
  • Symmetric orthogonal polynomials, Symposium in Analysis with a Focus on Special Functions, Orthogonal Polynomials and their Applications, Suez University, Egypt, 12 June 2021.
  • Generalised higher order Freud polynomials,Online network research group international seminar series on Orthogonal Polynomials (OPSFOTA), Special Functions and Operator Theory and Applications, 15:00 BST, 29 March 2021.
  • A characterisation of Askey-Wilson polynomials and the indeterminate moment problem associated with a limiting case, Complex Analysis video seminars (CAvid), 14:00 UTC, 1 December 2020.
  • Asymptotic zero distribution of generalised hypergeometric polynomials, Workshop: The complex analysis toolbox: new techniques and perspectives, Isaac Newton Institute for Mathematical Sciences, Cambridge, UK, 9-13 August 2019.
  • Zeros of orthogonal polynomials, AIMS-Volkswagen Stiftung Workshop on Introduction to Orthogonal Polynomials and Applications, Douala, Cameroon, 8-12 October 2018.
  • Properties of certain classes of semi-classical orthogonal polynomials, AIMSVolkswagen Stiftung Workshop on Introduction to Orthogonal Polynomials and Applications, Douala, Cameroon, 8-12 October 2018.
  • Characterisations of orthogonal polynomials, South African Numerical and Applied Mathematics (SANUM), Stellenbosch Unviversity, South Africa, April 2018.
  • Orthogonal polynomials characterized by structure relations, International Conference on Integrable systems, discrete symmetries and orthogonal polynomials,Institute of Mathematical Sciences, Madrid, Spain, 18-22 September, 2017.
  • Lecture series on Properties of orthogonal polynomials, London Mathematical Society Research School on Orthogonal polynomials and special functions, University of Kent, UK 26-30 June, 2017.
  • Properties of some semi-classical orthogonal polynomials, VI Iberoamerican workshop on orthogonal polynomials and applications, Universidade Federal do Triângulo Mineiro Uberaba, Brazil, 9-12 May, 2017.
  • Properties of generalized Freud polynomials,International Conference on Mathematical Analysis and Applications, Indian Institute of Technology, Roorkee, India, 28 Nov-2 Dec 2016.
  • Orthogonal polynomials under modification of the measure, Workshop on Functional Analysis and its Applications, North Wwest University, South Africa, September 2015.
  • The mathematics of money,Annual congress of the Association for Mathematics Education in South Africa (AMESA), University of Limpopo. Nominated plenary speaker representing the South African Mathematical Society, 2006.

 

Professional positions, fellowships & awards

AWARDS AND OTHER SCIENTIFIC SCHOLARLY RECOGNITION

  • Academy of Sciences of South Africa: Elected member since October 2021;
  • Royal Society: Newton Advanced Fellowship,2018-2023;
  • Editorial Board member: Philospical Transactions of the Royal Society A, since 2024;
  • Editorial Board member: Journal of difference equations and Applications, since 2023;
  • International Mathematical Union: Invited observer at Executive Committee meeting, February 2020;
  • International Centre for Mathematical Sciences: Visiting researcher, 2019;
  • Isaac Newton Institute for Mathematical Sciences: By-invitation themed semester workshop plenary speaker, 2019. 

ACADEMIC AND SCIENTIFIC CITIZENSHIP

  • African Institute for Mathematical Sciences South Africa
    • Council member since October 2023;
    • Associate research fellow since 2015;
  • International Society for Industrial and Applied Mathematics (SIAM):
    • Membership Committee, January 2019 - December 2021.
    • Activity Group on Orthogonal Polynomials and Special Functions (SIAG-OPSF):
      • Appointed co-editor of the electronic newsletter of the SIAG OPSF: 2015–2016;
      • Nominating committee for the election of officers: Member, 2016
      • Selection committee for the prestiguous international Gabor Szegö prize: 
           Chariperson (2016/2017) Member 2014/2015; 2020/2021;
    • Member since 2009.
  • South African Mathematical Society (SAMS):
    • President 2016-2019;
    • Elected Council member for Scientific Activities 2008-2011;
    • Member since 2000.
  • South African Mathematics Foundation (SAMF):
    • Executive Director since August 2018;
    • Chairperson of the Board of Directors January 2017-July 2018;
    • Vice-Chair of the Board of Directors 2015–2016;
    • Member of the Board of Directors since 2008.
  • National Graduate Academy for Mathematical and Statistical Sciences:
    • Advisory Board member since 2020.
  • Department of Science and Innovation:
      • DSI-NRF Centre of Excellence in Mathematical and Statistical Sciences Steering committee:
        • Member 2016-2019;
        • Chariperson since 2022.
  • National Research Foundation (NRF)
      • NRF Evaluation and rating panels:Chairperson, 2023-2026
      • NRF rating specialist committee for Mathematical Sciences:
        • Convener 2020 - Feb 2021;
        • Member 2017 - Feb 2021;
      • Advisory panel member for Mathematical sciences:
        • Competitive research grants, 2011, 2013, 2014, 2015;
        • Institutional Capacity Development Grants Thuthuka programme, 2012.

 

Other

ORCID ID - http://orcid.org/0000-0002-1675-5366