# §31.6 Path-Multiplicative Solutions

A further extension of the notation (31.4.1) and (31.4.3) is given by

with , but with another set of . This denotes a set of solutions of (31.2.1) with the property that if we pass around a simple closed contour in the -plane that encircles and once in the positive sense, but not the remaining finite singularity, then the solution is multiplied by a constant factor . These solutions are called path-multiplicative. See Schmidt (1979).