2 papers
math.CA2025
Higher-order asymptotic expansion with error estimate for the multidimensional Laplace-type integral under perturbations
Ikki Fukuda, Yoshiki Kagaya, Yuki Ueda
We consider the asymptotic behavior of the multidimensional Laplace-type integral with a perturbed phase function. Under suitable assumptions, we derive a higher-order asymptotic e…
math.OA2025
-transform in Finite Free Probability
Octavio Arizmendi, Katsunori Fujie, Daniel Perales +1
We present a simplified explanation of why free fractional convolution corresponds to the differentiation of polynomials, by finding how the finite free cumulants of a polynomial b…