On the definition of the Euler gamma function

DOI10.4171/LEM/1023zbMath1504.33001arXiv2001.04445OpenAlexW2999930787MaRDI QIDQ2154805

Ricardo Pérez-Marco

Publication date: 15 July 2022

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.04445

zbMATH Keywords

entire functionmeromorphic functionEuler gamma functioninfinite product

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Meromorphic functions of one complex variable (general theory) (30D30) Representations of entire functions of one complex variable by series and integrals (30D10) Special classes of entire functions of one complex variable and growth estimates (30D15) Multiplicative and other generalized difference equations (39A20)

Cites Work

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• Unified treatment of explicit and trace formulas via Poisson-Newton formula
• Note on Carlson's theorem
• A Simple Characterization of the Gamma Function
• Leonhard Euler's Integral: A Historical Profile of the Gamma Function: In Memoriam: Milton Abramowitz
• The Gamma Function: An Eclectic Tour
• A Sharpening of Wielandt's Characterization of the Gamma Function
• The Gamma Function and the Hurwitz Zeta-Function
• First order analytic difference equations and integrable quantum systems
• Laplace's Integral, the Gamma Function, and beyond
• Gamma and Factorial in the Monthly
• Wielandt's Theorem About the Γ-Function

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