Among the many tributes starting to pour in on social media, Tim Burgess of Charlatans UK had this to say: "Pete Shelley wrote flawless three minute pop songs".
Buzzcocks emerged from the late-1970s punk scene in the United Kingdom alongside contemporaries the Sex Pistols.
The band are best known for their classic track Ever Fallen in Love (With Someone You Shouldn't've).
On Thursday, Mike Mills of R.E.M. tweeted: "Damn".
Shelly formed the band in Bolton, England, back in 1976 alongside Howard Devoto.
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But if the transcript the SCMP obtained is genuine, the dialogue helps explain the background of Meng's arrest in Canada. She also said she was married with a son and a daughter and that her husband did not work in the industry.
Stiff Little Fingers singer Jake Burns wrote: "Really saddened to hear about the passing of Pete Shelley".
The Buzzcocks were a vastly influential pillar of Manchester's influential punk scene in the '70s, along with contemporaries like Magazine and the Sex Pistols. Devoto departed soon after, and Shelley assumed the frontman role.
The Buzzcocks broke up in the early 1980s, but reunited in the late '80s and continued to perform and record over the past three decades.
Guns N' Roses bassist Duff McKagan tweeted: "As a lifelong @Buzzcocks fan..." "When The Adored was lucky enough to tour United Kingdom with Buzzcocks, I noticed that Pete would watch all of the supporting bands every night".
Shelley pursued a solo career, introducing more experimental electronic music into his repertoire, and had a club hit with Homosapien. "My deepest condolences to his family and friends", he said. The following year, Buzzcocks began work on a fourth studio album, only to break up after recording demos for the effort.