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Journal articles

On the definition of Euler Gamma function

Abstract : We present a new definition of Euler Gamma function. From the complex analysis and transalgebraic viewpoint, it is a natural characterization in the space of finite order meromorphic functions. We show how the classical theory and formulas develop naturally, and we discuss the relation with other definitions. We show in a companion article, that this definition generalizes to higher gamma functions and provides an unifying framework for their definition which is more natural than the usual Bohr-Mollerup or Lerch approaches.
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Contributor : Ricardo Pérez-Marco Connect in order to contact the contributor
Submitted on : Wednesday, January 27, 2021 - 1:39:27 PM
Last modification on : Friday, April 1, 2022 - 3:46:15 AM


  • HAL Id : hal-02437549, version 2


Ricardo Pérez-Marco. On the definition of Euler Gamma function. L'Enseignement Mathématique , Zürich International Mathematical Society Publishing House, 2021. ⟨hal-02437549v2⟩



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