New solutions to the confluent Heun equation and quasiexact solvability

Abstract

We construct new solutions in series of confluent hypergeometric functions for the confluent Heun equation (CHE). Some of these solutions are applied to the one-dimensional stationary Schrödinger equation with hyperbolic and trigonometric quasiexactly solvable potentials.

Cited by in corpus (2)

• The Appell hypergeometric expansions of the solutions of the general Heun equation
• Integral relations for solutions of confluent Heun equations