Service interruption on Monday 11 July from 12:30 to 13:00: all the sites of the CCSD (HAL, EpiSciences, SciencesConf, AureHAL) will be inaccessible (network hardware connection).
Skip to Main content Skip to Navigation
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.
Document type :
Journal articles
Complete list of metadata


https://hal.archives-ouvertes.fr/hal-02437549
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

Identifiers

  • HAL Id : hal-02437549, version 2

Citation

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

Share

Metrics

Record views

115

Files downloads

3235