QUASI-EXACT SOLVABILITY OF TRI-CONFLUENT HEUN EQUATION
DOI:
https://doi.org/10.33003/fjs-2026-1003-4828Keywords:
Algebraization, Tri-confluent Heun Equations, Gauge potential, Exactly solvable potentialAbstract
The Tri-confluent Heun Equations (TCHE) are second order differential equations in the complex domain obtained by a limiting process which merges regular singularities of the canonical Heun differential equation with a regular singularity at and the irregular singularity at of rank 3. In this paper, we present a new algebraisation of the TCHE by writing it as the linear combination of quadratic elements in the universal enveloping algebra of We also obtain a new exactly solvable potential from TCHE using a suitable guage transformation.
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Copyright (c) 2026 Ubong Sam Idiong, Ezekiel Abiodun Oluwafemi
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