Connection Formula for the Jackson Integral of Type An and Elliptic Lagrange Interpolation

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• Main Authors: Ito, M., Noumi, M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209773
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Connection Formula for the Jackson Integral of Type An and Elliptic Lagrange Interpolation / M. Ito, M. Noumi // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 35 назв. — англ.

We investigate the connection problem for the Jackson integral of type An. Our connection formula implies a Slater-type expansion of a bilateral multiple basic hypergeometric series as a linear combination of several specific multiple series. Introducing certain elliptic Lagrange interpolation funct...