A family of Horn-Bernstein functions
Christian Berg, Henrik L. Pedersen

TL;DR
This paper revisits a family of Bernstein functions, identifying those with derivatives that are logarithmically completely monotonic, and introduces a new class called Horn-Bernstein functions inspired by Roger A. Horn's work.
Contribution
It defines and characterizes Horn-Bernstein functions, expanding the class of Bernstein functions with specific monotonicity properties.
Findings
Identification of Bernstein functions with logarithmically completely monotonic derivatives
Introduction of the Horn-Bernstein function class
Connections to Roger A. Horn's results
Abstract
A family of recently investigated Bernstein functions is revisited and those functions for which the derivatives are logarithmically completely monotonic are identified. This leads to the definition of a class of Bernstein functions, which we propose to call Horn-Bernstein functions because of the results of Roger A. Horn.
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