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Pré-Publication, Document De Travail Année : 2020

On the definition of Euler Gamma function

Résumé

We present a new definition of Euler Gamma function that is natural from the complex analysis and transalgebraic point of view. The classical theory develops naturally from this definition. We discuss the relation with other definitions. We show in the companion article [40] that this definition extends to higher gamma functions and provides an unifying framework for their definition which seems more natural than Bohr-Mollerup or Lerch approach that is generally adopted.
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Dates et versions

hal-02437549 , version 1 (13-01-2020)
hal-02437549 , version 2 (27-01-2021)

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  • HAL Id : hal-02437549 , version 1

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Ricardo Pérez-Marco. On the definition of Euler Gamma function. 2020. ⟨hal-02437549v1⟩
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