Pade-Borel resummation: convert divergent perturbative series into convergent rational approximants

Layer 1 — Physicsin the perturbation-theory subtree

Pade-Borel resummation framework. Setup: a formal power series f(z) = sum_{n>=0} a_n z^n with coefficients a_n growing factorially (|a_n| ~ n! C^n, typical for quantum perturbation theory - e.g. anharmonic oscillator, QED, QCD). Such…

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