Some (counter)examples on totally positive Riordan arrays

R. Słowik

doi:10.1016/j.laa.2020.02.021

Some (counter)examples on totally positive Riordan arrays

R. Słowik

Katedra Matematyki (RMS/RMS1)

Wyniki badań: Wkład do czasopisma › Artykuł › recenzja

5 Cytowania z bazy Scopus

Abstrakt

We consider a recent result which claims that if the series d(t) and h(t) are Pólya frequency formal power series, then the Riordan array (d(t),h(t)) is totally positive. Namely, we pose and answer the question if the various types of the converse of this claim are also true.

Język oryginału	angielski
Strony (od–do)	117-123
Liczba stron	7
Czasopismo	Linear Algebra and Its Applications
Tom	594
Identyfikatory DOI	https://doi.org/10.1016/j.laa.2020.02.021
Status publikacji	Opublikowano - 1 cze 2020

Obszary tematyczne ASJC Scopus

Algebra i teoria liczb
Analiza numeryczna
Geometria i topologia
Matematyka dyskretna i kombinatoryka

Uzyskaj dostęp do dokumentu

10.1016/j.laa.2020.02.021

Inne pliki i linki

Link do publikacji w Scopus

Cytowanie

@article{4edc2535947d49639365d21661f09049,

title = "Some (counter)examples on totally positive Riordan arrays",

abstract = "We consider a recent result which claims that if the series d(t) and h(t) are P{\'o}lya frequency formal power series, then the Riordan array (d(t),h(t)) is totally positive. Namely, we pose and answer the question if the various types of the converse of this claim are also true.",

keywords = "A-sequence, P{\'o}lya frequency formal power series, P{\'o}lya frequency sequence, Riordan array, Totally positive matrix, Z-sequence",

author = "R. S{\l}owik",

note = "Publisher Copyright: {\textcopyright} 2020",

year = "2020",

month = jun,

day = "1",

doi = "10.1016/j.laa.2020.02.021",

language = "English",

volume = "594",

pages = "117--123",

journal = "Linear Algebra and Its Applications",

issn = "0024-3795",

publisher = "Elsevier Inc.",

}

TY - JOUR

T1 - Some (counter)examples on totally positive Riordan arrays

AU - Słowik, R.

PY - 2020/6/1

Y1 - 2020/6/1

N2 - We consider a recent result which claims that if the series d(t) and h(t) are Pólya frequency formal power series, then the Riordan array (d(t),h(t)) is totally positive. Namely, we pose and answer the question if the various types of the converse of this claim are also true.

AB - We consider a recent result which claims that if the series d(t) and h(t) are Pólya frequency formal power series, then the Riordan array (d(t),h(t)) is totally positive. Namely, we pose and answer the question if the various types of the converse of this claim are also true.

KW - A-sequence

KW - Pólya frequency formal power series

KW - Pólya frequency sequence

KW - Riordan array

KW - Totally positive matrix

KW - Z-sequence

UR - https://www.scopus.com/pages/publications/85079864064

U2 - 10.1016/j.laa.2020.02.021

DO - 10.1016/j.laa.2020.02.021

M3 - Article

AN - SCOPUS:85079864064

SN - 0024-3795

VL - 594

SP - 117

EP - 123

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

ER -

Some (counter)examples on totally positive Riordan arrays

Abstrakt

Obszary tematyczne ASJC Scopus

Uzyskaj dostęp do dokumentu

Inne pliki i linki

Fingerprint

Cytowanie