Hyperbolic beta integrals
| dc.creator | Stokman, Jasper V. | |
| dc.date | 2003-03-14 | |
| dc.date | 2004-01-02 | |
| dc.date.accessioned | 2026-07-07T04:56:03Z | |
| dc.date.available | 2026-07-07T04:56:03Z | |
| dc.description | Hyperbolic beta integrals are analogues of Euler's beta integral in which the role of Euler's gamma function is taken over by Ruijsenaars' hyperbolic gamma function. They may be viewed as $(q,\widetilde{q})$-bibasic analogues of the beta integral in which the two bases $q$ and $\widetilde{q}$ are interrelated by modular inversion, and they entail $q$-analogues of the beta integral for $|q|=1$. The integrals under consideration are the hyperbolic analogues of the Ramanujan integral, the Askey-Wilson integral and the Nassrallah-Rahman integral. We show that the hyperbolic Nassrallah-Rahman integral is a formal limit case of Spiridonov's elliptic Nassrallah-Rahman integral. | |
| dc.description | 35 pages. Remarks and references to recent new developments are added. To appear in Adv. Math | |
| dc.identifier | https://arxiv.org/abs/math/0303178 | |
| dc.identifier | http://arxiv.org/abs/math/0303178 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66791 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Classical Analysis and ODEs | |
| dc.title | Hyperbolic beta integrals | |
| dc.type | text |