Pascal-like matrix with double factorial binomial coefficients

[ X ]

Tarih

2023

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Indian Nat Sci Acad

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

We introduce a variation of a Pascal-like matrix which includes double factorial binomial coefficients and show that it satisfies several properties. We find the inverse of the defined matrix and derive explicit representations of the powers of it for the integer, rational and irrational exponents. Finally, we give a generalization of this matrix and obtain some identities.

Açıklama

Anahtar Kelimeler

Pascal-like matrix; Hermite polynomial; Factorization of matrix; Toeplitz matrix

Kaynak

Indian Journal of Pure & Applied Mathematics

WoS Q Değeri

Q4

Scopus Q Değeri

Q3

Cilt

Sayı

Künye