In this paper we deal with some open problems concerned with Gamma subordinators. In particular, we first provide a representation for the moments of the inverse gamma subordinator. Then, we focus on λ-potentials and we study the governing equations associated with Gamma subordinators and inverse processes. Such representations are given in terms of higher transcendental functions, also known as Volterra functions.

On the inverse gamma subordinator / Colantoni, F.; D'Ovidio, M.. - In: STOCHASTIC ANALYSIS AND APPLICATIONS. - ISSN 1532-9356. - (2022), pp. 1-26. [10.1080/07362994.2022.2108450]

On the inverse gamma subordinator

Colantoni F.
;
D'Ovidio M.
2022

Abstract

In this paper we deal with some open problems concerned with Gamma subordinators. In particular, we first provide a representation for the moments of the inverse gamma subordinator. Then, we focus on λ-potentials and we study the governing equations associated with Gamma subordinators and inverse processes. Such representations are given in terms of higher transcendental functions, also known as Volterra functions.
2022
Gamma subordinators, inverse Gamma processes, higher transcendental functions, Volterra functions, fractional calculus
01 Pubblicazione su rivista::01a Articolo in rivista
On the inverse gamma subordinator / Colantoni, F.; D'Ovidio, M.. - In: STOCHASTIC ANALYSIS AND APPLICATIONS. - ISSN 1532-9356. - (2022), pp. 1-26. [10.1080/07362994.2022.2108450]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1669311
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