Special, conjugate and complete scale functions for spectrally negative Lévy processes
Andreas E Kyprianou, University of Bath
Victor Rivero, Centro de Investigación en Matemáticas, Mexico
Abstract
Following from recent developments in Hubalek and Kyprianou [28], the objective of this paper is to provide further methods for constructing new families of scale functions for spectrally negative Lévy processes
which are completely explicit. This is the result of an observation in the aforementioned paper which permits feeding the theory of Bernstein functions directly into the Wiener-Hopf factorization for spectrally negative Lévy processes. Many new, concrete examples of scale functions are offered although the methodology in principle delivers still more explicit examples than those listed.
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