# Research

## Research interests

My current research concentrates on special functions, (matrix valued) orthogonal polynomials, moment problems, generalized Fourier transforms in relation with Lie and quantum algebra representations and stochastic particle models.### Preprints

*Orthogonal dualities of Markov processes and unitary symmetries*, with Gioia Carinci, Chiara Franceschini, Cristian Giardinà and Frank Redig.*A solution to the Al-Salam--Chihara moment problem**A quantum algebra approach to multivariate Askey-Wilson polynomials*

### Recent publications

*Self-duality of Markov processes and intertwining functions*, Math. Phys. Anal. Geom. (2018) with Chiara Franceschini and Cristian Giardinà.*Orthogonal stochastic duality functions from Lie algebra representations*, Journal of Statistical Physics (2018).*3nj-symbols and identities for q-Bessel functions*, Ramanujan Journal**47**(2018), 317-337.*Orthogonality relations for Al-Salam--Carlitz polynomials of type II*, J. Approx. Theory**195**(2015), 89-108.-
*Coupling coefficients for tensor product representations of quantum*SU(2), J. Math. Phys.**55**(2014) *A hypergeometric function transform and matrix-valued orthogonal polynomials*, Constr. Approx.**38**, (2013), 277-309, with Erik Koelink.*Spectral decomposition and matrix-valued orthogonal polynomials*, Advances in Mathematics (2013), 91-105, with Mourad E.H. Ismail and Erik Koelink.

Here is a complete list of my publications.