Asymptotic estimates for some number-theoretic power series
On some non-holonomic sequences.
Refined wing asymptotics for the Merton and Kou jump diffusion models
Refining previously known estimates, we give large-strike asymptotics for the implied volatility of Merton's and Kou's jump diffusion models. They are deduced from call price approximations by transfer results of Gao and Lee. For the Merton model, we also analyse the density of the underlying and show that it features an interesting "almost power law" tail.
A computer proof of Turán's inequality.
On the non-holonomic character of logarithms, powers, and the th prime function.
Lindelöf representations and (non-)holonomic sequences.
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