Hankel hyperdeterminants and Selberg integrals

J. -G. Luque, J. -Y. Thibon

We investigate the simplest class of hyperdeterminants defined by Cayley in the case of Hankel hypermatrices (tensors of the form $A_{i_1{i}_2...i_k}=f(i_1+i_2+...+i_k)$). It is fou…