Alexey Kuznetsov

collaborators

2 papers

math.PR2025

Darboux Transformation of Diffusion Processes

Alexey Kuznetsov, Minjian Yuan

Darboux transformation of a second-order linear differential operator is a well-known technique with many applications in mathematics and physics. We study Darboux transformation f…

math.CA2024

On series expansions of zeros of the deformed exponential function

Alexey Kuznetsov

For $q \in (0, 1)$ , the deformed exponential function $f (x) = \sum_{n \geq 1} x^{n} q^{n (n - 1) /2} / n!$ is known to have infinitely many simple and negative zeros $\{x_k(q)\}_{k \geq 1}…