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More on hypergeometric Lévy processes

Published online by Cambridge University Press:  25 July 2016

Emma L. Horton*
Affiliation:
University of Bath
Andreas E. Kyprianou*
Affiliation:
University of Bath
*
Department of Mathematical Sciences, University of Bath, Claverton Down, Bath BA2 7AY, UK. Email address: [email protected]
Department of Mathematical Sciences, University of Bath, Claverton Down, Bath BA2 7AY, UK. Email address: [email protected]

Abstract

Kuznetsov and co-authors in 2011‒14 introduced the family of hypergeometric Lévy processes. They appear naturally in the study of fluctuations of stable processes when one analyses stable processes through the theory of positive self-similar Markov processes. Hypergeometric Lévy processes are defined through their characteristic exponent, which, as a complex-valued function, has four independent parameters. In 2014 it was shown that the definition of a hypergeometric Lévy process could be taken to include a greater range of the aforesaid parameters than originally specified. In this short article, we push the parameter range even further.

Type
Research Article
Copyright
Copyright © Applied Probability Trust 2016 

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