Elliptic Well-Poised Bailey Transforms and Lemmas on Root Systems

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2018
• Автори: Bhatnagar, G., Schlosser, M.J.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2018
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/209439
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Elliptic Well-Poised Bailey Transforms and Lemmas on Root Systems / G. Bhatnagar, M.J. Schlosser // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 52 назв. — англ.

We list An, Cn, and Dn extensions of the elliptic WP Bailey transform and lemma, given for n=1 by Andrews and Spiridonov. Our work requires multiple series extensions of Frenkel and Turaev's terminating, balanced, and very-well-poised ₁₀V₉ elliptic hypergeometric summation formula due to Roseng...