Lattice paths and branched continued fractions. III. Generalizations of the Laguerre, rook and Lah polynomials

Bishal Deb, Alexander Dyachenko, Mathias Pétréolle +1

We introduce a triangular array ${\hat{\mathsf{L}}}^{(\alpha )}$ of 5-variable homogeneous polynomials that enumerate Laguerre digraphs (digraphs in which each vertex has out-degree 0 or 1…