Year: 2024
Type: preprint
Abstract: The univariate elliptic beta integral is represented as a bilinear combination of infinite $_{10}V_9$ very-well-poised elliptic hypergeometric series representing the sum of residues of the integrand poles. Convergence of this combination of series for some particular choice of parameters is discussed. Additionally, the asymptotics of the Frenkel--Turaev sum for a terminating $_{10}V_9$ series is considered when the termination parameter $n$ goes to infinity.
Source: arXiv (Cornell University)
Author: Spiridonov, Vyacheslav P.
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Russian Science Foundation
Award: G464480613
OpenAlex ID: W4405562289