On a Transformation of Triple -Series and Rogers-Hecke Type Series

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2024
• Main Author: Liu, Zhi-Guo
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2024
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/212609
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On a Transformation of Triple -Series and Rogers-Hecke Type Series. Zhi-Guo Liu. SIGMA 20 (2024), 086, 37 pages

Using the method of the q-exponential differential operator, we give an extension of the Sears ₄₃ transformation formula. Based on this extended formula and a -series expansion formula for an analytic function around the origin, we present a transformation formula for triple -series, which includes...