ABSTRACT. We give several new characterizations of Riordan Arrays, the most important of which is: if fd nÒk g nÒk2N is a lower triangular array whose generic element d nÒk linearly depends on the elements in a well-defined though large area of the array, then fd nÒk g nÒk2N is Riordan. We also provide some applications of these characterizations to the lattice path theory.
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