2 papers
math.CA2026
Neumann series of Bessel functions for the solutions of the Sturm-Liouville equation in impedance form and related boundary value problems
Abigail G. Márquez-Hernández, Víctor A. Vicente-Benítez
We present a Neumann series of spherical Bessel functions representation for solutions of the Sturm--Liouville equation in impedance form \[ (κ(x)u')' + λκ(x)u = 0,\quad 0 < x < L,…
math.CA2025
Transmutation operators for Schrödinger equations with distributional potentials and the associated impedance equation
Víctor A. Vicente-Benítez
We present the construction of an integral transmutation operator for the Schrödinger equation \[ -y'' + q(x)y = λy, \quad x \in J, \ λ\in \mathbb{C}, \] in the case where is t…