Un déterminant reproduisant

Details Un déterminant reproduisant Un déterminant reproduisant

2010-10-28

arxiv.org/abs/1010.6081v1

Mathematics

Combinatorics

12 pages, in French

Scientific paper

We evaluate the determinant D = det((y_j u_i - x_j v_i)/(l_j - k_i)) as a function of the last sextuple (u,v,k;x,y,l), the result being shown to have a form reproducing the one of the entries of D. ----- Nous calculons le d\'eterminant D = det((y_j u_i - x_j v_i)/(l_j - k_i)) comme fonction du dernier des sextuplets (u,v,k;x,y,l), en exprimant le r\'esultat sous une forme qui reproduit celle des entr\'ees de D.

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