A unified approach to generalized Pascal-like matrices: q-analysis

[ X ]

Tarih

2023

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Elsevier Inc.

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this paper, we present a general method to construct q-analogues and other generalizations of Pascal-like matrices. Our matrices are obtained as functions of strictly lower triangular matrices and include several types of generalized Pascal-like matrices and matrices related with modified Hermite polynomials of two variables and other polynomial sequences. We find explicit expressions for products, powers, and inverses of the matrices and also some factorization formulas using this method. © 2023 Elsevier Inc.

Açıklama

Anahtar Kelimeler

Hermite polynomials; Matrix factorizations; Pascal-like matrix; q-Pascal matrix; Toeplitz matrix

Kaynak

Linear Algebra and Its Applications

WoS Q Değeri

Scopus Q Değeri

Q1

Cilt

673

Sayı

Künye