Differential and Functional Identities for the Elliptic Trilogarithm

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2009
• ISSN: 1815-0659
• Main Author: Strachan, Ian A.B.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149173
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Differential and Functional Identities for the Elliptic Trilogarithm / Ian A.B. Strachan // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 23 назв. — англ.

When written in terms of J-functions, the classical Frobenius-Stickelberger pseudo-addition formula takes a very simple form. Generalizations of this functional identity are studied, where the functions involved are derivatives (including derivatives with respect to the modular parameter) of the ell...