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Expansion around half-integer values, binomial sums and inverse binomial sums
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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.
Forward citations
Cited by 3 Pith papers
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The $\mu$-extension of iterated integrals and nested sums
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Numerical computation of Fox functions
A numerical toolkit, based on Sinc methods plus contiguity shifts of lambda, is presented for evaluating multivariate Fox functions representing Feynman integrals.
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