works on
complex analysis 1definability 1holomorphic continuation 1o-minimal structures 1special functions 1

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1 paper

math.LO2026

Definability of complex functions in o-minimal structures

Adele Padgett, Patrick Speissegger

The paper shows that certain holomorphic extensions of functions from the classes an* and G are definable in the o‑minimal structures R_an* and R_G, identifies optimal complex doma…