TL;DR
This paper generalizes the lambda determinant formula by Mills, Robbins, and Rumsey, introducing a two-parameter extension that also encompasses a recent formula by Di Francesco, broadening the mathematical framework.
Contribution
It presents a homogenous generalization of the lambda determinant with parameters depending on two indices, extending previous formulas in the field.
Findings
Proves a new two-parameter lambda determinant formula
Extends the formula of Mills, Robbins, and Rumsey
Includes a recent formula of Di Francesco as a special case
Abstract
In this paper we prove a homogenous generalization of the lambda determinant formula of Mills, Robbins and Rumsey. In our formula the parameters depends on two indices. Our result also extends a recent formula of Di Francesco.
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Taxonomy
TopicsAdvanced Topics in Algebra · Advanced Combinatorial Mathematics · Algebraic structures and combinatorial models