Inverse of triangular matrices and generalized bivariate Fibonacci and Lucas p-polynomials

Adem Şahin and Kenan Kaygısız
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 22, 2016, Number 1, Pages 18–28
Full paper (PDF, 173 Kb)

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Authors and affiliations

Adem Şahin
Faculty of Education, Gaziosmanpaşa University
60250 Tokat, Turkey

Kenan Kaygısız
Department of Mathematics, Faculty of Arts and Sciences, Gaziosmanpaşa University
60250 Tokat, Turkey

Abstract

In this paper, we compute the generalized bivariate Fibonacci and Lucas p-polynomials by using inverse of various triangular matrices. In addition, in each calculation, instead of obtaining a type of sequence only, we are able to determine successive n terms of the two types of polynomial sequences simultaneously.

Keywords

• Generalized bivariate Fibonacci and Lucas p-polynomials
• Triangular matrix

AMS Classification

• 11B37
• 15A15
• 15A51

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