Sequence Characterization of 3-Dimensional Riordan Arrays and Some Application

Roksana Słowik

doi:10.1007/s00025-019-1093-9

Sequence Characterization of 3-Dimensional Riordan Arrays and Some Application

Roksana Słowik

Katedra Matematyki (RMS/RMS1)

Wyniki badań: Wkład do czasopisma › Artykuł › recenzja

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Abstrakt

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 this representation for finding totally positive matrices.

Język oryginału	angielski
Numer artykułu	169
Czasopismo	Results in Mathematics
Tom	74
Numer wydania	4
Identyfikatory DOI	https://doi.org/10.1007/s00025-019-1093-9
Status publikacji	Opublikowano - 1 gru 2019

Obszary tematyczne ASJC Scopus

Matematyka (różne)
Matematyka stosowana

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10.1007/s00025-019-1093-9

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title = "Sequence Characterization of 3-Dimensional Riordan Arrays and Some Application",

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 this representation for finding totally positive matrices.",

keywords = "3-dimensional Riordan array, A-sequence, Riordan array, Riordan group, Z-sequence, multi-dimensional Riordan array, sequence characterization",

author = "Roksana S{\l}owik",

note = "Publisher Copyright: {\textcopyright} 2019, The Author(s).",

year = "2019",

month = dec,

day = "1",

doi = "10.1007/s00025-019-1093-9",

language = "English",

volume = "74",

journal = "Results in Mathematics",

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AB - 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 this representation for finding totally positive matrices.

KW - 3-dimensional Riordan array

KW - A-sequence

KW - Riordan array

KW - Riordan group

KW - Z-sequence

KW - multi-dimensional Riordan array

KW - sequence characterization

UR - https://www.scopus.com/pages/publications/85072999353

U2 - 10.1007/s00025-019-1093-9

DO - 10.1007/s00025-019-1093-9

M3 - Article

AN - SCOPUS:85072999353

SN - 1422-6383

VL - 74

JO - Results in Mathematics

JF - Results in Mathematics

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ER -

Sequence Characterization of 3-Dimensional Riordan Arrays and Some Application

Abstrakt

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