An elegant Multi-Integral that implies an even more elegant determinant identity of Dougherty and McCammond

By Tewodros Amdeberhan and Doron Zeilberger

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Written: Jan. 7, 2022.

Appeared in the Palestinian Journal of Mathematics Vol. 11(4) (2022), 1-6.

We state and prove an explicit evaluation of a certain multi-variate integral and use it to furnish a new, and shorter, proof of an elegant determinant identity of Michael Dougherty and Jon McCammond that came up in their study of critical values.

Acknowledgment: We wish to thank Peter Larcombe for insightful remarks on an earlier draft, that improved the readability considerably.

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