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Nested sums, expansion of transcendental functions, and multiscale multiloop integrals

Nested sums, expansion of transcendental functions, and multiscale multiloop integrals

Expansion of higher transcendental functions in a small parameter are needed in many areas of science. For certain classes of functions this can be achieved by algebraic means. These algebraic tools are based on nested sums and can be formulated as algorithms suitable for an implementation on a computer. Examples, …