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Pré-Publication, Document De Travail Année : 2023

Explicit Formulae for Some Polynomial Continued Fractions

Résumé

In a previous article we gave a collection of continued fractions involving Catalan's constant. In this note we provide the general formula governing those continued fractions. We also show that a single formula involving $\log 2$ discovered by the Ramanujan machine is part of a large family of which we provide examples.
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Dates et versions

hal-04105623 , version 1 (24-05-2023)
hal-04105623 , version 2 (09-06-2023)
hal-04105623 , version 3 (02-08-2023)
hal-04105623 , version 4 (03-08-2023)
hal-04105623 , version 5 (03-08-2023)
hal-04105623 , version 6 (10-08-2023)
hal-04105623 , version 7 (11-08-2023)
hal-04105623 , version 8 (17-08-2023)
hal-04105623 , version 9 (28-08-2023)
hal-04105623 , version 10 (03-01-2024)
hal-04105623 , version 11 (06-01-2024)
hal-04105623 , version 12 (30-01-2024)
hal-04105623 , version 13 (02-02-2024)
hal-04105623 , version 14 (10-02-2024)
hal-04105623 , version 15 (18-04-2024)

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Domaine public

Identifiants

  • HAL Id : hal-04105623 , version 2

Citer

David Naccache, Ofer Yifrach-Stav. Explicit Formulae for Some Polynomial Continued Fractions. 2023. ⟨hal-04105623v2⟩
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