Differential and Functional Identities for the Elliptic Trilogarithm

When written in terms of $vartheta$-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) o...

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Bibliographic Details
Main Author: Ian A.B. Strachan
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2009-03-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2009.031