2 papers
math.CA2026
Fourier transform pairs and Eisenstein-type series related to Jacobi elliptic functions
Peng-Cheng Hang, Alexey Kuznetsov
We compute Fourier transforms of functions expressed as a ratio of one of the Jacobi elliptic functions divided by or . In many cases, the resulting Fourie…
math.PR2025
Limits of Random Motzkin paths with KPZ related asymptotics
Wlodzimierz Bryc, Alexey Kuznetsov, Jacek Wesolowski
We study Motzkin paths of length with general weights on the edges and end points. We investigate the limit behavior of the initial and final segments of the random Motzkin pat…