Expansion around half-integer values, binomial sums and inverse binomial sums

Details Expansion around half-integer values, binomial sums and inverse binomial sums Expansion around half-integer values, binomial sums and inverse binomial sums

2004-02-12

arxiv.org/abs/hep-ph/0402131v1

J.Math.Phys. 45 (2004) 2656-2673

Physics

High Energy Physics

High Energy Physics - Phenomenology

21 pages

Scientific paper

10.1063/1.1758319

I consider the expansion of transcendental functions in a small parameter around rational numbers. This includes in particular the expansion around half-integer values. I present algorithms which are suitable for an implementation within a symbolic computer algebra system. The method is an extension of the technique of nested sums. The algorithms allow in addition the evaluation of binomial sums, inverse binomial sums and generalizations thereof.

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