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Table 3

Parameters of the luminosity functions.

Sample Mod. log L1 log L2 log Lb log Φb log K α β

F-NLS1 PL 40.25 42.75 −1.91 ± 5.90 −1.17 ± 0.14 ± 0.48
F-NLS1* PL 40.25 42.75 −1.60 ± 5.90 −1.18 ± 0.14 ± 0.48
HERG PL 39.75 42.25 20.96 ± 5.68 −1.71 ± 0.14 ± 0.41
FSRQ BPL 42.25 43.75 43.32 ± 0.47 −53.10 ± 1.34 1.61 ± 0.98 4.33 ± 2.00

Notes. The LF of F-NLS1s is showed in two different ways: with or without 1 source with unknown spectral index. The former is indicated with an asterisk. Columns: (1) sample; (2) function used for the best-fit. PL for power law, BPL for broken power law; (3) logarithm of minimum luminosity bin (erg s-1); (4) logarithm of maximum luminosity bin (erg s-1); (5) logarithm of luminosity break (erg s-1); (6) logarithm of the luminosity function at the break (Mpc-3); (7) coefficient of the power law; (8) slope of the power law (slope below the break for broken power law). The second error is that evaluated via Monte Carlo method; (9) slope above the break (for broken power law only).

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