3 papers
math.CA2026
On Radial Distribution and Quasi-exact Solvability of Brioschi-Halphen Equation
U. S. Idiong, U. N. Bassey, O. S. Obabiyi
The Brioschi-Halphen equation (BHE) is a second order complex differential equation obtained by a two step transformation of the Lamé equation. The Lamé equation is an equation i…
math.SP2025
Spectral Shift Functions of Lamé Operators
Ubong Sam Idiong, Unanaowo Nyong Bassey
The search for spectral shift functions of operators remains an open area of research. In this paper, the Kre\uın's spectral shift functions are computed for the Lamé operator in…
math.CA2024
Distributional Solution and Spectral Shift Function of Heun Differential Equation
Ubong Sam Idiong
In this work, the Heun operator is written as an element in the universal enveloping algebra of the Lie algebra of the Lie group .…