Work

Gustafson-Rakha-Type Elliptic Hypergeometric Series

Year: 2017

Type: article

Abstract: We prove a multivariable elliptic extension of Jackson's summation formula conjectured by Spiridonov.The trigonometric limit case of this result is due to Gustafson and Rakha.As applications, we obtain two further multivariable elliptic Jackson summations and two multivariable elliptic Bailey transformations.The latter four results are all new even in the trigonometric case.

Source: Symmetry Integrability and Geometry Methods and Applications

DOI: 10.3842/sigma.2017.037

Author: Hjalmar Rosengren

Institutions: Chalmers University of Technology, University of Gothenburg

Language: English

Topic: Advanced Mathematical Identities

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Vetenskapsrådet

OpenAlex ID: W2583814040