Johannes Blümlein, Nikolai Fadeev, Carsten Schneider,
"Computing Mellin representations and asymptotics of nested binomial sums in a symbolic way: The RICA package"
, Serie RISC Report Series, Nummer 23-11, RISC, JKU, Hagenberg, Linz, 8-2023
Original Titel:
Computing Mellin representations and asymptotics of nested binomial sums in a symbolic way: The RICA package
Sprache des Titels:
Englisch
Original Kurzfassung:
Nested binomial sums form a particular class of sums that arise in the context of particle physics computations at higher orders in perturbation theory within QCD and QED, but that are also mathematically relevant, e.g., in combinatorics. We present the package RICA (Rule Induced Convolutions for Asymptotics), which aims at calculating Mellin representations and asymptotic expansions at infinity of those objects. These representations are of particular interest to perform analytic continuations of such sums.
Forschungs-