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Elliptic Polylogarithms and Basic Hypergeometric Functions

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arxiv 1610.06207 v1 pith:ODE36AX6 submitted 2016-10-18 math-ph hep-thmath.MP

Elliptic Polylogarithms and Basic Hypergeometric Functions

classification math-ph hep-thmath.MP
keywords basicellipticfunctionshypergeometricmultiplepolylogarithmsarbitrarycomputable
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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