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2015

Differential Equations, Associators, and Recurrences for Amplitudes

Puhlfuerst, Georg, Stieberger, Stephan

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We provide new methods to straightforwardly obtain compact and analytic expressions for epsilon-expansions of functions appearing in both field and string theory amplitudes.

An algebraic method is presented to explicitly solve for recurrence relations connecting different epsilon-orders of a power series solution in epsilon of a differential equation.
This strategy generalizes the usual iteration by Picard's method.
Our tools are demonstrated for generalized hypergeometric functions.

Differential Equations, Associators, and Recurrences for Amplitudes · Around

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