J. Laughlin

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20002019

most citedPolynomial Solutions to Pell's Equation and Fundamental Units in Real Quadratic Fields

24 citations · 188 across the 39 of their papers we have counts for

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math.CO2018★ 5 cited

Powers of a matrix and combinatorial identities

James Mc Laughlin, B. Sury

In this article we obtain a general polynomial identity in $k$ variables, where $k \geq 2$ is an arbitrary positive integer. We use this identity to give a closed-form expression fo…

math.CO2018★ 9 cited

Further Combinatorial Identities deriving from the $n$ -th power of a $2 \times 2$ matrix

James Mc Laughlin, Nancy J. Wyshinski

In this paper we use a formula for the $n$ -th power of a $2 \times 2$ matrix $A$ (in terms of the entries in $A$ ) to derive various combinatorial identities. Three examples of our re…

Powers of a matrix and combinatorial identities

Further Combinatorial Identities deriving from the n-th power of a 2×2 matrix

Further Combinatorial Identities deriving from the $n$ -th power of a $2 \times 2$ matrix