Using the Jacobi-Trudi formula to compute Stirling determinants
Tewodros Amdeberhan, Shalosh B. Ekhad
TL;DR
This paper applies the Jacobi-Trudi formula to explicitly evaluate determinants of Stirling numbers, providing a new computational approach and accompanying software package for practical implementation.
Contribution
It introduces a novel application of the Jacobi-Trudi formula for Stirling determinants and offers a Maple package for computation.
Findings
Explicit formulas for Stirling determinants using Jacobi-Trudi
Implementation of a Maple package for calculations
Enhanced computational methods for Stirling numbers
Abstract
We use the Jacobi-Trudi formula to execute "explicit" evaluation of determinants of Stirling numbers of both kinds. We also offer a Maple package accompanying the paper on the personal websites at the end of the second page.
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Taxonomy
TopicsAnalytical Chemistry and Chromatography · Lipid Membrane Structure and Behavior · Sphingolipid Metabolism and Signaling