Mellin-Barnes integrals related to the Lie algebra $u(N)$
A.N. Manashov
TL;DR
This paper provides an alternative proof of Gustafson's generalization of the second Barnes' lemma, involving Mellin-Barnes integrals related to the Lie algebra u(N).
Contribution
It offers a new proof approach for a key integral identity connected to the Lie algebra u(N), expanding mathematical understanding.
Findings
New proof of Gustafson's generalization of Barnes' lemma
Enhanced understanding of Mellin-Barnes integrals in Lie algebra context
Potential applications in mathematical physics and representation theory
Abstract
We present an alternative proof of Gustafson's generalization of the second Barnes' lemma.
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