A Generalization of Bohr-Mollerup's Theorem for Higher Order Convex Functions

In 1922, Harald Bohr and Johannes Mollerup established a remarkable characterization of the Euler gamma function using its log-convexity property. A decade later, Emil Artin investigated this result and used it to derive the basic properties of the gamma function using elementary methods of the calc...

Полное описание

Библиографические подробности

Главные авторы:	Marichal, Jean-Luc, Zenaïdi, Naïm
Формат:	Online
Язык:	английский
Опубликовано:	Springer Nature 2022
Предметы:	Difference Equation Higher Order Convexity Bohr-Mollerup's Theorem Principal Indefinite Sums Gauss' Limit Euler Product Form Raabe's Formula Binet's Function Stirling's Formula Euler's Infinite Product Euler's Reflection Formula Weierstrass' Infinite Product Gauss Multiplication Formula Euler's Constant Gamma Function Polygamma Functions Hurwitz Zeta Function Generalized Stieltjes Constants
Online-ссылка:	ONIX_20220713_9783030950880_14
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