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arXiv · 2210.09816

Variance Gamma (non-local) equations

Fausto Colantoni
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Abstract

We provide some equations for the Variance Gamma process due to the fact that we do not consider only the definition as a time-changed Brownian motion. This brings us to a new non-local equation, even true in the drifted case, involving generalized Weyl derivatives. Then we focus on the connection to special functions and we study a space equation for our process. At the end, we conclude by observing the convergence in distribution of a compound Poisson process to the Variance Gamma process.

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Fausto Colantoni. 2022-10-18. Variance Gamma (non-local) equations. https://arxiv.org/abs/2210.09816

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