These particular solutions are analytic except for a possible singularity at "z" = 0 (as well as a possible singularity at "z" = ∞), and in the case of "p" = "q" also an inevitable singularity at "z" = (−1)"p"−"m"−"n". As will be seen presently, they can be identified with generalized hypergeometric functions "p""F""q"−1 of argument (−1)"p"−"m"−"n" "z" that are multiplied by a power "z""b""h", and with generalized hypergeometric functions "q""F""p"−1 of argument (−1)"q"−"m"−"n" "z"−1 that are multiplied by a power "z""a""h"−1, respectively.