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Papers published in the English version of the journal

Some Classes of Tetradiagonal Determinants via Certain Polynomial Families

E. Kilic

TOBB Economy and Technology University, Ankara, Turkey

Abstract: We present six families of tetradiagonal matrices and their periodic variations depending on four variables. We explicitly evaluate their $LU$-decompositions and determinants via certain four-parameter polynomials, some of which are called four-parameter Tribonacci and generalized Delannoy polynomials. We give generating functions for their determinant evaluations. Furthermore, we present applications of our results to some orthogonal polynomial families.

Keywords: tetradiagonal matrix, decomposition, generating function, second-order sequence, determinant.

MSC: Primary 15A15; Secondary 15A23, 05A15

Received: 27.12.2022
Revised: 21.06.2023

Language: English

 English version: Mathematical Notes, 2023, 114:5, 825–844

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