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Preprints, Working Papers, ... Year : 2020

Defining a surreal hyperexponential

Abstract

Conway's class No of surreal numbers admits a rich structure: it forms a totally ordered real closed field with an exponential functions and a derivation. The aim of this note is to construct a surreal solution E to the functional equation E (a + 1) = exp E (a) with good properties.
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Dates and versions

hal-02861485 , version 1 (09-06-2020)
hal-02861485 , version 2 (29-10-2020)

Identifiers

  • HAL Id : hal-02861485 , version 2

Cite

Vincent Bagayoko, Joris van der Hoeven, Vincenzo Mantova. Defining a surreal hyperexponential. 2020. ⟨hal-02861485v2⟩
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