3 papers
math.CA2026
Mehler formula for Wronskians of Hermite polynomials
Alexey Kuznetsov, Minjian Yuan
We prove that the bilinear generating function for Wronskians of Hermite polynomials can be expressed as the classical Mehler kernel multiplied by a polynomial, thereby extending t…
math.CA2025
On Gegenbauer polynomials and Wronskian determinants of trigonometric functions
Minjian Yuan
M. E. Larsen evaluated the Wronskian determinant of functions . We generalize this result and compute the Wronskian of $\{\sin(mx)\}_{1\le m \le n-1}\c…
math.PR2024
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…