A limit transition from the Heckman-Opdam hypergeometric functions to the Whittaker functions associated with root systems

zbMath1412.22023arXiv0812.3773MaRDI QIDQ4630747

Nobukazu Shimeno

Publication date: 23 April 2019

Full work available at URL: https://arxiv.org/abs/0812.3773

zbMATH Keywords

root systemhypergeometric functionWhittaker function

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Harmonic analysis and spherical functions (43A90) Hypergeometric functions associated with root systems (33C67)

Related Items (4)

Spherical and Whittaker functions via DAHA. II. ⋮ Difference equation for the Heckman-Opdam hypergeometric function and its confluent Whittaker limit ⋮ Integrable boundary interactions for Ruijsenaars' difference Toda chain ⋮ Wave functions for quantum integrable particle systems via partial confluences of multivariate hypergeometric functions

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