Papers › A generalization of the rational rough Heston approximation

A generalization of the rational rough Heston approximation

13 Oct 2023arXiv:2310.09181archive 2025-07-28

Jim Gatheral, Radoš Radoičić

Previously, in [GR19], we derived a rational approximation of the solution of the rough Heston fractional ODE in the special case \lambda = 0, which corresponds to a pure power-law kernel. In this paper we extend this solution to the general case of the Mittag-Leffler kernel with \lambda \geq 0. We provide numerical evidence of the convergence of the solution.

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