The linear algebra of a Pascal-like matrix
Yükleniyor...
Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
TAYLOR & FRANCIS LTD
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
A Pascal-like matrix is constructed whose row entries are the terms of the modified Hermite polynomials of two variables. The multiplication of the two Pascal-like matrices and the power and inverse of the Pascal-like matrix have very similar results to the well-known Binomial Matrix, and the factorization of the Pascal-like matrix has also been given, which is completely similar to the factorization of Binomial Matrix. Furthermore, two simple examples are given to show the application of the power and factorization properties of the Pascal-like matrix. Finally, a generalization of the Pascal-like matrix is given and some combinatorial identities are obtained such as Tepper-like identity.
Açıklama
Anahtar Kelimeler
Pascal-like matrix, factorials and binomial coefficients, matrix inversion, Hermite polynomial, factorization of a matrix, Toeplitz matrix
Kaynak
LINEAR & MULTILINEAR ALGEBRA
WoS Q DeÄŸeri
Q1
Scopus Q DeÄŸeri
Q1
Cilt
Sayı
Künye
Bu makale açık erişimli değildir.
