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At the same time, the mmWave's enormous available bandwidth makes it the primary contender for next\u2010generation communication networks. This article aims to synthesize and assess the usage of mmWave concurrently in backhaul and access links for amplify\u2010and\u2010forward (AF) relay installed on the UAV. A mathematical framework is developed for the received power of the user equipment (UE) obtained in relay path (gNB\u2010UAV\u2010UE) and direct path (gNB\u2010UE) via; (i) free space, and (ii) log\u2010distance path loss model. The International Telecommunication Union recommended city model is used to assess the likelihood for LoS and NLoS paths in four urban environments; (i) high\u2010rise urban, (ii) dense urban, (iii) urban, and (iv) suburban. Furthermore, various parameters, that is, UAV's position and amplification factor are stipulated to optimize the efficiency of a UAV\u2010based AF relay for enhanced users coverage.<\/jats:p>","DOI":"10.1002\/ett.4194","type":"journal-article","created":{"date-parts":[[2021,1,6]],"date-time":"2021-01-06T03:53:50Z","timestamp":1609905230000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Mathematical framework for 5G\u2010UAV relay"],"prefix":"10.1002","volume":"32","author":[{"given":"Shah Khalid","family":"Khan","sequence":"first","affiliation":[{"name":"School of Engineering RMIT University Melbourne Victoria Australia"}]}],"member":"311","published-online":{"date-parts":[[2021,1,5]]},"reference":[{"unstructured":"3GPP 3rd Generation Partnership Project (3GPP);2020. 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