Recurrence formulae for sequences of monogenic polynomials

Presenter: Helmuth Malonek, University of Aveiro, Portugal

Joint work with Isabel Cação, Irene Falcão

Based on the general matrix approach to special monogenic polynomial sequences in arbitrary dimensions (cf. CMFT, vol. 12 (2012), No. 2, 371-391) we present several recurrence formulae for orthogonal monogenic polynomials in the kernel of the generalized Cauchy-Riemann operator. This includes also a detailed analysis of the involved matrices and combinatorial relationships between the structural constants of homogeneous monogenic polynomials.