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Special, conjugate and complete scale functions for spectrally negative Lévy processes

  
@article{EJP567,
	author = {Andreas Kyprianou and Victor Rivero},
	title = {Special, conjugate and complete scale functions for spectrally negative Lévy processes},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {13},
	year = {2008},
	keywords = {Potential theory for subordinators, Scale functions, Special subordinators, Spectrally negative Lévy processes},
	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.},
	pages = {no. 57, 1672-1701},
	issn = {1083-6489},
	doi = {10.1214/EJP.v13-567},    
        url = {http://ejp.ejpecp.org/article/view/567}}