  We generalize the notions of Laplacian and signless Laplacian Estrada index
to uniform hypergraphs. For an $r$-uniform hypergraph $H,$ we derive an order
$r+1$ trace formula of the (signless) Laplacian tensor of $H.$ Among others by
using this trace formula, we obtain lower bounds for the signless Laplacian
Estrada index and upper bounds for the Laplacian Estrada index. Moreover, we
establish a bound involving both the Laplacian Estrada index and Laplacian
energy of a uniform hypergraph.

Combinatorics