2010•Unpublished venueRequires access

Bernstein Functions: Theory and Applications

René L. Schilling, Renming Song, Zoran Vondraček

Abstract

This text is a self-contained and unified approach to Bernstein functions and their subclasses, bringing together old and establishing new connections. Applications of Bernstein functions in different fields of mathematics are given, with special attention to interpretations in probability theory. An extensive list of complete Bernstein functions with their representations is provided.

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Key concepts: Operator (biology), Special functions, Mathematics, Monotone polygon, Function (biology), Algebra over a field, Laplace transform, Bernstein polynomial