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We present the redshift evolutions and distributions of the gamma-rayluminosity and photon spectral index of flat spectrum radio quasar (FSRQ) typeblazars, using non-parametric methods to obtain the evolutions anddistributions directly from the data. The sample we use for analysis consistsof almost all FSRQs observed with a greater than approximately 7 sigmadetection threshold in the first year catalog of the Fermi Gamma-ray SpaceTelescope's Large Area Telescope, with redshfits as determined from opticalspectroscopy by Shaw et al. We find that FSQRs undergo rapid gamma-rayluminosity evolution, but negligible photon index evolution, with redshift.With these evolutions accounted for we determine the density evolution andluminosity function of FSRQs, and calculate their total contribution to theextragalactic gamma-ray background radiation, resolved and unresolved, which isfound to be 16(+10/-4)%, in agreement with previous studies.

Gamma-ray Luminosity and Photon Index Evolution of FSRQ Blazars and Contribution to the Gamma-ray Background