首页|Yet another criterion for the total positivity of Riordan arrays

Yet another criterion for the total positivity of Riordan arrays

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Let R= R(d(t), h(t)) be a Riordan array, where d(t) = Sigma(dn)(n >= 0)t(n) and h(t) = Sigma(n >= 0)h(n)t(n). We show that if the matrix [d(0) h(0) 0 0 ... d(1) h(1) h(0) 0 d(2) h(2) h(1) h(0) . . .. is totally positive, then so is the Riordan array R. (C) 2021 Elsevier Inc. All rights reserved.

Riordan arrayTotally positive matrixPolya frequency sequence

Mao, Jianxi、Mu, Lili、Wang, Yi

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Dalian Univ Technol

Jiangsu Normal Univ

2022

Linear Algebra and its Applications

Linear Algebra and its Applications

EISCI
ISSN:0024-3795
年,卷(期):2022.634
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