Sequence Characterization of 3-Dimensional Riordan Arrays and Some Application
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DOI: 10.1007/s00025-019-1093-9
Abstract: We propose the characterization of 3-dimensional Riordan arrays with use of three sequences that is analogous to the representation of 2-dimensional Riordan arrays with use of A and Z-sequence. We also suggest an application of… read more here.
Keywords: characterization dimensional; application; dimensional riordan; riordan arrays ... See more keywords
Jordan Canonical Forms of Riordan Arrays
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DOI: 10.1007/s00025-021-01405-6
Abstract: We consider the possible Jordan canonical forms of Riordan arrays. We prove that there are, in fact, only two such forms. Moreover, the transition matrix is in the Riordan group only in the case when… read more here.
Keywords: canonical forms; jordan canonical; riordan arrays; forms riordan ... See more keywords
Half Riordan array sequences
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DOI: 10.1016/j.laa.2020.06.019
Abstract: Abstract We construct sequences of vertical and horizontal halves of various Riordan arrays by using the vertical and horizontal halve Riordan array transform operators. The sequence characterizations of halves of Riordan arrays are presented and… read more here.
Keywords: halve riordan; array; riordan arrays; riordan array ... See more keywords