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

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...

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Bibliographic Details
Format: eBook
Language:English
Published: Cham Springer Nature 2022
Series:Developments in Mathematics
Subjects:
Differential calculus and equations
Functional analysis and transforms
Binet's Function
Bohr-Mollerup's Theorem
Difference Equation
Euler Product Form
Euler's Constant
Euler's Infinite Product
Euler's Reflection Formula
Gamma Function
Gauss Multiplication Formula
Gauss' Limit
Generalized Stieltjes Constants
Higher Order Convexity
Hurwitz Zeta Function
Polygamma Functions
Principal Indefinite Sums
Raabe's Formula
Stirling's Formula
Weierstrass' Infinite Product
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