Multiwavelength analyses of spectra of active galactic nuclei provide useful information on the physical processes in the accretion disk and jets of black holes. This, however, is limited to bright sources and may not represent the population as a whole. Another approach is through the investigation of the cosmological evolution of the luminosity function (LF), which shows varied evolution (luminosity and density) at different wavelengths. These differences and the correlations between luminosities can shed light on the jet-accretion disk connection. Most such studies use forward fitting parametric methods that involve several functions and many parameters. We use nonparametric, nonbinning methods developed by Efron & Petrosian and Lynden-Bell, for obtaining unbiased description of the evolution of the LF, from data truncated by observational selection effects. We present an analysis of the evolution of gamma-ray LF of blazars with a main focus on flat-spectrum radio quasars. This requires analysis of both gamma-ray and optical data, essential for redshift measurements, and a description of the joint LF. We use a new approach that divides the sample into two subsamples, each with its own flux limit. We use the Fermi Large Area Telescope and GAIA observations, and present results on the gamma-ray LF and its evolution, and determine the intrinsic correlation between the gamma-ray and optical luminosities corrected for the well-known false correlation induced by their similar redshift dependence and evolution of the two luminosities. We also present a direct estimation of the contribution of blazars to the spectrum of the extragalactic gamma-ray background.

活动星系核光谱的多波长分析提供了关于吸积盘和黑洞喷流物理过程的有用信息。然而，这仅限于明亮的来源，可能不能代表整个人口。另一种方法是通过对光度函数 (LF) 的宇宙学演化的研究，该函数显示了不同波长下的不同演化（光度和密度）。这些差异和光度之间的相关性可以揭示喷流吸积盘的连接。大多数此类研究使用涉及多个函数和许多参数的前向拟合参数方法。我们使用由 Efron & Petrosian 和 Lynden-Bell 开发的非参数、非分箱方法，以获得对 LF 演变的无偏描述，来自被观察选择效应截断的数据。我们对耀变体的伽马射线 LF 演化进行了分析，主要关注平谱射电类星体。这需要对红移测量必不可少的伽马射线和光学数据进行分析，以及对联合 LF 的描述。我们使用一种新方法将样本分成两个子样本，每个子样本都有自己的通量限制。我们使用费米大面积望远镜和 GAIA 观测，并展示了伽马射线 LF 及其演化的结果，并确定了伽马射线和光学光度之间的内在相关性，校正了由它们相似的红移引起的众所周知的错误相关性两种光度的依赖和演化。