MMN-1662

Shifted Euler-Seidel matrices

Ayhan Dil; Mirac Cetin Firengiz;

Abstract

In this study defining Shifted Euler-Seidel matrices we generalized the Euler-Seidel matrices method. Owing to this generalization one can investigate any sequences $\left( s_{n}\right) $\ which have two term linear recurrences as $s_{m+n}=\alpha s_{m+n-1}+\beta s_{n-1}$ ($\alpha$ and $\beta$ are real parameters and $n,m\in\mathbb{Z}^{+}$). By way of illustration, we give some examples related to Fibonacci $p$-numbers.


Vol. 18 (2017), No. 1, pp. 173-188
DOI: https://doi.org/10.18514/MMN.2017.1662


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