On a matrix element representation of the GKZ hypergeometric functions

DOI10.1007/s11005-023-01658-yOpenAlexW4364375504MaRDI QIDQ2701164

Yanyan Li

Publication date: 27 April 2023

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.02516

zbMATH Keywords

Whittaker functionsGKZ hypergeometric functionsmultidimensional oscillator Lie algebra

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Other hypergeometric functions and integrals in several variables (33C70) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Cites Work

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• GG-functions and their relation to general hypergeometric functions
• Fonctions de Whittaker associées aux groupes de Chevalley
• Intégrales d'entrelacement et fonctions de Whittaker

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