Generalized-hypergeometric solutions of the biconfluent Heun equation
arXiv:1903.08162
Abstract
We examine the power-series solutions and the series solutions in terms of the Hermite functions for the biconfluent Heun equation. Infinitely many cases for which a solution of the biconfluent equation is presented as an irreducible linear combination of four generalized hypergeometric functions, that in general do not reduce to polynomials, are identified.
References in corpus (5)
- Heun Functions and Some of Their Applications in Physics
- Solutions of the bi-confluent Heun equation in terms of the Hermite functions
- Expansions of the solutions of the confluent Heun equation in terms of the incomplete Beta and the Appell generalized hypergeometric functions
- Integral relations for solutions of confluent Heun equations
- The Appell hypergeometric expansions of the solutions of the general Heun equation