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arxiv: 1610.06207 · v1 · pith:ODE36AX6new · submitted 2016-10-18 · 🧮 math-ph · hep-th· math.MP

Elliptic Polylogarithms and Basic Hypergeometric Functions

classification 🧮 math-ph hep-thmath.MP
keywords basicellipticfunctionshypergeometricmultiplepolylogarithmsarbitrarycomputable
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Multiple elliptic polylogarithms can be written as (multiple) integrals of products of basic hypergeometric functions. The latter are computable, to arbitrary precision, using a q-difference equation and q-contiguous relations.

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