A Note on Eulerian Numbers and Toeplitz Matrices

Tian-Xiao He; Peter J.-S. Shiue

doi:10.1515/spma-2020-0103

A Note on Eulerian Numbers and Toeplitz Matrices

Tian-Xiao He, Peter J.-S. Shiue

Illinois Wesleyan University

Research output: Journal Article › Article › peer-review

Abstract

This note presents a new formula of Eulerian numbers derived from Toeplitz matrices via Riordan array approach.

Original language	American English
Journal	Special Matrices
Volume	8
DOIs	https://doi.org/10.1515/spma-2020-0103
State	Published - May 20 2020

Keywords

Eulerian numbers
Inverse matrices
Riordan arrays
Toeplitz matrices

Disciplines

Applied Mathematics
Mathematics

Access to Document

10.1515/spma-2020-0103License: Unspecified

Cite this

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title = "A Note on Eulerian Numbers and Toeplitz Matrices",

abstract = " This note presents a new formula of Eulerian numbers derived from Toeplitz matrices via Riordan array approach.",

keywords = "Eulerian numbers, Inverse matrices, Riordan arrays, Toeplitz matrices",

author = "Tian-Xiao He and Shiue, \{Peter J.-S.\}",

note = "This note presents a new formula of Eulerian numbers derived from Toeplitz matrices via Riordan array approach.",

year = "2020",

month = may,

day = "20",

doi = "10.1515/spma-2020-0103",

language = "American English",

volume = "8",

journal = "Special Matrices",

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T1 - A Note on Eulerian Numbers and Toeplitz Matrices

AU - He, Tian-Xiao

AU - Shiue, Peter J.-S.

N1 - This note presents a new formula of Eulerian numbers derived from Toeplitz matrices via Riordan array approach.

PY - 2020/5/20

Y1 - 2020/5/20

N2 - This note presents a new formula of Eulerian numbers derived from Toeplitz matrices via Riordan array approach.

AB - This note presents a new formula of Eulerian numbers derived from Toeplitz matrices via Riordan array approach.

KW - Eulerian numbers

KW - Inverse matrices

KW - Riordan arrays

KW - Toeplitz matrices

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U2 - 10.1515/spma-2020-0103

DO - 10.1515/spma-2020-0103

M3 - Article

VL - 8

JO - Special Matrices

JF - Special Matrices

ER -

A Note on Eulerian Numbers and Toeplitz Matrices

Abstract

Keywords

Disciplines

Access to Document

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