REDSHIFT DISTRIBUTION AND EVOLUTION FUNCTION OF QUASI-STELLAR OBJECTS

Taking account of the selection effect in the line identification, under the cosmologicalredshift hypothesis we calculate the redshift-distribution functions of quasi-stellar objects(QSOs) selected with the slitless technique, using three kinds of evolution functions forQSOs, i. e. the Schmidt-Green function, the Mathez function and the Heisler-Ostriker func-tion, and compare them with the observed distribution. The comparison shows that withregards to both the global behavior and the detailed properties, the predictions agree wellwith observations. We also tried to throw light on the redshift distribution of radio-selectedand color-selected QSOs. Therefore, the obtained results draw to the conclusion that thecosmological-redshift hypothesis is compatible with the redshift distibution of QSOs. Using the redshift distribution of QSOs, we also compare various evolution functionswith observations, and indicate which functions in what range can well explain the observeddistributions.