Abstract
Recent theories of functional differential invariants, reciprocants, cyclicants, &c., have brought into notice a considerable number of linear differential operators, whose arguments are the derivatives of one with regard to the others of a set of variables connected by any single relation. By aid of such operators, in their quality of annihilators or generators, the forms of classes of functions of the derivatives having properties of persistence in form after various classes of transformations have been discussed with some completeness, and great light has been thrown on the properties of other functions in connexion with such transformations.
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