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

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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...

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Bibliographic Details
Main Author: Marichal, Jean-Luc (auth)
Other Authors: Zenaïdi, Naïm (auth)
Format: Electronic Book Chapter
Language:English
Published: Cham Springer Nature 2022
Series:Developments in Mathematics 70
Subjects:
Functional analysis & transforms
Differential calculus & equations
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
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