Abstract
In this appendix, summation formulae for series involving nested sums and binomial coefficients are presented. Some of them are used in this book. These series have a canonical form, in the sense that the argument of a nested sum \(S_k\) is \(n-1\), there are powers of \(1/n^j\) etc. If the arguments are somehow shifted one can reduce the summation problem to the tables below by some manipulations with a given series.
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Smirnov, V.A. (2012). Appendix C: Summation Formulae. In: Analytic Tools for Feynman Integrals. Springer Tracts in Modern Physics, vol 250. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34886-0_12
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