arXiv Open Access 2006

Limits of elliptic hypergeometric integrals

Eric M. Rains

Lihat Sumber

Abstrak

In math.QA/0309252, the author proved a number of multivariate elliptic hypergeometric integrals. The purpose of the present note is to explore more carefully the various limiting cases (hyperbolic, trigonometric, rational, and classical) that exist. In particular, we show (using some new estimates of generalized gamma functions) that the hyperbolic integrals (previously treated as purely formal limits) are indeed limiting cases. We also obtain a number of new trigonometric (q-hypergeometric) integral identities as limits from the elliptic level.

Topik & Kata Kunci

math.CA

Penulis (1)

Eric M. Rains

Format Sitasi

APA MLA BibTeX

Rains, E.M. (2006). Limits of elliptic hypergeometric integrals. https://arxiv.org/abs/math/0607093

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2006
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓