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...
9. Liam Lawrence
Registered five goals in opening 10 games, including three penalties, after initially arriving on loan in 2010-11. Photo: Steve Reid
10. Jermain Defore
Scored eight goals in opening 10 matches, including on his Blues debut in 1-1 draw with Chelsea in February 2008. Photo: Jonathan Brady
11. Kanu
Registered seven goals in opening 10 matches, including two goals on debut against Blackburn in August 2006. Photo: Steve Reid
12. Marc McNulty
Bagged five times in opening 10 games, including a League Two hat-trick against York in November 2015. Photo: Joe Pepler