LONDON — Liam Payne’s funeral was taking place Wednesday in south-east England, just over a month after the One Direction star died after falling from a hotel balcony in Argentina’s capital, Buenos Aires.

The singer, 31, had traces of alcohol, cocaine and a prescription antidepressant in his system when he fell from the third floor on Oct. 16, an autopsy revealed. Three people have been charged in connection with the incident.

Argentinian authorities released his body earlier this…