Since arriving on the south coast, Bishop has netted five times in eight appearances, while fellow summer signing Scarlett has registered four goals from 10 outings.
Over the last 20 years, a number of players have also enjoyed impressively-productive starts to life at Fratton Park.
Here are 14 others whose goal-scoring record from their opening 10 matches in Pompey colours stand out from the rest...
5. Peter Crouch
Netted four goals in opening 10 games during his second Pompey spell, which lasted 2008-09. Photo: PA
6. Danny Hollands
Registered five times in opening 10 games, including a League Two hat-trick against Plymouth in May 2014. Photo: Joe Pepler
7. Vincent Pericard
Scored five times in opening 10 matches, including bagging on his debut against Nottingham Forest in August 2003. Photo: Matt Scott-Joynt
8. Brett Pitman
Netted six times in opening 10 games, including two on debut against Rochdale in League One in August 2017. Photo: Joe Pepler