Address: School of Mathematics, Statistics and Actuarial Science University of Kent, Sibson Building Canterbury, CT2 7FS U.K.
I am a Lecturer in Mathematics at the School of Mathematics, Statistics and Actuarial Science of the University of Kent.
I am a guest editor for the special issue Special Issue on Orthogonal Polynomials, Special Functions and Applications (OPSFA14) of the international Journal Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
RESEARCH INTERESTS
Orthogonal polynomials and special functions, some aspects of combinatorics, integral transforms and integrable systems.
Upcoming activities and events
– OPSFOTA seminar, University of Kent, 28 March 2018 (organiser)
– Approximation and Matrix Functions (AMF 2018), University of Lille, May 31-June 1, 2018
– “Introduction of Orthogonal Polynomials and Applications” – AIMS-Volkswagen-workshop, Douala, Cameroon, 5-12 October, 2018
Past activities and events
- “Operator Theory Workshop”, University of Reading, 2-4 October 2017
- “Integrable systems, symmetries, and orthogonal polynomials”, ICMAT, Madrid (Spain), 18-22 September 2017
- workshop “Orthogonal Polynomials and Special Functions”, Porto (Portugal), September 2017
- FoCM (Foundations of Computational Mathematics), Barcelona (Spain), July 2017
- OPSFA’14, University of Kent, 3-7 July 2017 (organiser)
- Summer School on OPSF, University of Kent, 26-30 June 2017 (organiser)
- ICMS workshop on ‘Applied and computational complex analysis’, Edinburgh, May 2017
- 7^{th} South East Mathematical Physics Seminar, Kent, January 2017
- OPSFA’13 Gaithersburg, USA, July 2015
- ‘Computational complex analysis for free surface flows and other applications” workshop, UCL, London, 20-22 April 2015
- FoCM, Uruguay, December 2014
PUBLICATIONS
- Volterra-type convolution of classical polynomials, under redaction (with K. Xu)
- Spectral approximation of convolution operator. submitted (2017). (with K. Xu)
- Unique positive solution for an alternative discrete Painlevé I equation, Journal of Difference Equations and Applications, (2016) 1023-6198. (with P. Clarkson and W. Van Assche) [arXiv 1508.04916]
- q-differential equations for q-classical polynomials and q-Jacobi-Stirling numbers, Mathematische Nachrichten 289 (2016), 693-717. (with J. Zeng)
- On especial cases of Boas-Buck type polynomial sequences, K. Alladi et al. (Eds.), Analytic Number Theory, Approximation Theory and Special Functions, in: Springer, 21 (2014) 521-535. (with S. Yakubovich)
- The Kontorovich-Lebedev transform as a map between d-orthogonal polynomials, Studies in Applied Mathematics, 131(3) (2013), 229-265. (with S. Yakubovich)
- Polynomial sequences associated with the classical linear functionals, Numerical Algorithms, 60 (2) (2012), 297-314. (with P. Maroni) [Preprint]
- Central factorials under the Kontorovich-Lebedev transform of polynomials, Integral Transforms and Special Functions, 24(3) (2013), 217-238. (with S. Yakubovich) [Preprint]
- On a polynomial sequence associated with the Bessel operator, Proc. Amer. Math. Soc. 142 (2014), 467-482. – (with P. Maroni and S. Yakubovich) [Preprint]
- Around q-Appell polynomial sequences, Ramanujan Journal, 26 (3) (2011), 311-321. (with Pascal Maroni) : [Preprint]
- On the convergence of Schröder iteration functions for pth roots of complex numbers, Appl. Math. Comput. 217 (27) (2011) 8833-8839. (with João Ribeiro Cardoso): [Preprint]
- Quadratic decomposition of Laguerre polynomials via lowering operators, Journal of Approximation Theory 163 (2011) 888–903. (with Pascal Maroni) : [Preprint]
- Iteration functions for pth roots of complex numbers, Numerical Algorithms 57 (3) (2011) 329-356. (with João Ribeiro Cardoso) [Preprint]
- New results on the Bochner condition about classical orthogonal polynomials, Journal of Mathematical Analysis and Applications, 364 (2010) 307-323. : [Preprint]
- Quadratic decomposition of Appell sequences, Expositiones Mathematicae 26 (2008), 177-186. (with Pascal Maroni)
- The generalised Bochner condition about classical orthogonal polynomials revisited, J. Math. Anal. Appl. 322 (2006) 645-667. (with P. Maroni, Z. da Rocha)
TEACHING (2017/18 SPRING TERM)
- MA568 and MA7526: Orthogonal Polynomials and Special Functions
- LTCC course for PhD Students on Orthogonal Polynomials and Special Functions
ADMINSTRATIVE RESPONSIBILITIES
- member of the Education Committee (2018 – onwards)
- member of Equality, Diversity and Inclusivity Committee (former Athena Swan committee) (2012-2017)
- grant holder and organiser of the OPSFOTA research group (2018-onwards)
- panellist for Athena Swan
Interesting Mathematical Links
Organizations
SIAM Activity Group: Orthogonal Polynomials and Special Functions
SIAM
London Mathematical Society
American Mathematical Society
European Mathematical Information Service
Surveys in Approximation Theory
Maple
Wolfram (Mathematica)
Centre for Experimental and Constructive Mathematics