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In this paper, we study the secrecy performance of underlay cooperative cognitive relaying network, where a secondary source communicates with a secondary destination with the cooperation of an amplify-and-forward (AF) secondary relay in the presence of a passive eavesdropper, taking into consideration the interference from primary user (PU). We assume that the nodes in the secondary network are mobile, whereas the PU is a fixed infrastructure node. Therefore, we model the channels for mobile-to-mobile links as double-Rayleigh fading, while the channels between mobile-to-fixed links are modeled as Rayleigh fading. Considering such a realistic scenario, in particular, we derive a tight lower bound expression of secrecy outage probability (SOP) in closed-form, whereas an important asymptotic SOP expression is presented in the high signal-to-noise ratio (SNR) regime. The asymptotic results reveal that …