Sequence Characterization of 3-Dimensional Riordan Arrays and Some Application
نویسندگان
چکیده
منابع مشابه
Sequence characterization of Riordan arrays
In the realm of the Riordan group, we consider the characterization of Riordan arrays by means of the Aand Z-sequences. It corresponds to a horizontal construction of a Riordan array, whereas the traditional approach is through column generating functions. We show how the Aand Z-sequences of the product of two Riordan arrays are derived from those of the two factors; similar results are obtaine...
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My talk will be divided into two parts, one concerning the diagonals top-left to bottom-right of Riordan arrays, and the other a short history of these matrices. It is important to realize that the results obtained can be extended to recursive matrices, which seems the most natural setting where these properties should be studied. Riordan arrays have been studied from many points of view, corre...
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We give several new characterizations of Riordan Arrays, the most important of which is: if fd n;k g n;k2N is a lower triangular array whose generic element d n;k linearly depends on the elements in a well-deened though large area of the array, then fd n;k g n;k2N is Riordan. We also provide some applications of these characterizations to the lattice path theory.
متن کاملA/Z characterization of Riordan arrays
In the realm of the Riordan group, we consider the characterization of Riordan arrays by means of the Aand Z-sequences. It corresponds to a horizontal construction of a Riordan array, whereas the traditional approach is through column generating functions. We show how the Aand Z-sequences of the product of two Riordan arrays are derived from those of the two factors; similar results are obtaine...
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ژورنال
عنوان ژورنال: Results in Mathematics
سال: 2019
ISSN: 1422-6383,1420-9012
DOI: 10.1007/s00025-019-1093-9