Summations of polylogarithms via evaluation transform

Hoang Ngoc Minh,

Mathematics and Computers in Simulation (MATCOM), 1996, vol. 42, issue 4, 707-728

Abstract: In this work, the Evaluation transform is adapted to interpret the polylogarithms as being the Evaluation of the words yxn, for meromorphic kernels and meromorphic inputs. The functional equations on polylogarithms can be obtained, then, via combinatorics on words and the relations between the inputs. Some identities concerning these special functions are also proposed via the products of generating series.

Keywords: Symbolic computation; Polylogarithms; Zeta function; Evaluation transform; Generating series; Nonlinear systems; Iterated integral (search for similar items in EconPapers)
Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:42:y:1996:i:4:p:707-728

DOI: 10.1016/S0378-4754(96)00045-6

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