Geodesic
A Generalization of Cauchy' s Double Alternant
Canadian mathematical bulletin, Tome 7 (1964) no. 2, pp. 273-278

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The subject of alternants and alternating functions was widely studiedduring the last century (cf. Muir [6]). One of the best-known alternants isactually a double alternant (rows and columns) defined by Cauchy [2] in1841. Cauchy's result may be stated as follows:If D = [dpq] p, q= l, ..., n, where dpq =(xp+yq)-1, then 1 . 
Carlson, David; Davis, Chandler. A Generalization of Cauchy' s Double Alternant. Canadian mathematical bulletin, Tome 7 (1964) no. 2, pp. 273-278. doi: 10.4153/CMB-1964-025-8
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     title = {A {Generalization} of {Cauchy'} s {Double} {Alternant}},
     journal = {Canadian mathematical bulletin},
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     year = {1964},
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     number = {2},
     doi = {10.4153/CMB-1964-025-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1964-025-8/}
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