RADIATIVE-CORRECTIONS TO THE PHOTON-+1 JET RATE AT LEP

We present the results of a calculation of the rate for the annihilati on of an e(+) e(-) pair into a jet containing an energetic photon and a single further jet at order alpha alpha(s). By comparing these resul ts with the existing data on the photon + 1 jet rate from the ALEPH Co llaboration, we make a first determination of the process independent quark-to-photon fragmentation function Dq-->y(Z,mu p) at order alpha a lpha(s). We also compare our prediction for the inclusive photon energ y spectrum with the recent OPAL measurement. (C) 1997 Elsevier Science B.V.