Mellin-Barnes integrals related to the Lie algebra \(u(N)\)

DOI10.1007/s10958-023-06685-7arXiv2110.05862OpenAlexW3206716879MaRDI QIDQ6143535

Alexander N. Manashov

Publication date: 24 January 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.05862

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Analysis on real and complex Lie groups (22E30) Representations of Lie algebras and Lie superalgebras, analytic theory (17B15)

Cites Work

• Inversions of integral operators and elliptic beta integrals on root systems
• Transformations of elliptic hypergeometric integrals
• A q-analog of the Gauss summation theorem for hypergeometric series in U(n)
• On complex gamma-function integrals
• The importance of the Selberg integral
• Essays on the theory of elliptic hypergeometric functions
• Multilateral Summation Theorems for Ordinary and Basic Hypergeometric Series in $U(n)$.
• Some q-Beta and Mellin–Barnes Integrals with Many Parameters Associated to the Classical Groups
• Some q-Beta and Mellin-Barnes Integrals on Compact Lie Groups and Lie Algebras
• Hypergeometric functions over an arbitrary field
• On $BC$ type basic hypergeometric orthogonal polynomials

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