The Merseyside giants have scored 11 goals from their opening five games in the Premier League, with Mane, Salah and Firmino contributing eight strikes and three assists between them.
However, Bournemouth have also made a fast start to the campaign with 10 goals coming from the same number of fixtures, and Begovic has heaped praise on his side's attacking players.
The Bosnia-Herzegovina international is quoted by the Daily Mail as saying: "Our front three are as good as anyone in the league. We are a very attacking team, we want to attack and score goals.
"They are up there with Liverpool's front three when they are on form. The way we play suits them. They have a great understanding and long may it continue."
Fraser, King and Wilson have seven goals and five assists between them this season.