# Research

## Research interests

My current research concentrates on special functions, (matrix valued) orthogonal polynomials, moment problems, generalized Fourier transforms in relations with mathematical objects such as Lie algebras, quantum groups and affine Hecke algebras.### Preprints

*Self-duality of Markov processes and intertwining functions,**with Chiara Franceschini and Cristian Giardinà.**Orthogonal stochastic duality functions from Lie algebra representations.*

Here is a complete list of my publications.### Recent publications

*3nj-symbols and identities for q-Bessel functions*, Ramanujan Journal (2017).*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.