Generalized-hypergeometric solutions of the biconfluent Heun equation

Infinitely many cases for which two independent fundamental solutions of the biconfluent Heun equation can each be presented as an irreducible linear combination of two confluent generalized hypergeometric functions are identified. The involved hypergeometric functions, which in general do not reduce to polynomials, are such that each numerator parameter (except one) exceeds a corresponding denominator parameter by...