T. Goy, “On determinants and permanents of some Toeplitz–Hessenberg matrices whose entries are Jacobsthal numbers”, Eurasian Math. J., 2018, том 9, номер 4,страницы 61

Эта публикация цитируется в 2 статьях

On determinants and permanents of some Toeplitz–Hessenberg matrices whose entries are Jacobsthal numbers

T. Goy

Faculty of Mathematics and Computer Sciences, Vasyl Stefanyk Precarpathian National University, 57 Shevchenko St., 76018 Ivano-Frankivsk, Ukraine

Аннотация: In this paper, we study some families of Toeplitz–Hessenberg determinants and permanents the entries of which are Jacobsthal numbers. These studies have led us to discover new identities for Jacobsthal numbers.

Ключевые слова и фразы: Jacobsthal sequence, Toeplitz–Hessenberg matrix, determinant, permanent, multinomial coefficient.

MSC: 15B36, 11B37, 11B05

Поступила в редакцию: 29.11.2016
Исправленный вариант: 21.07.2018

Язык публикации: английский

DOI: 10.32523/2077-9879-2018-9-4-61-67