A cursory google scholar search provides many great articles germane to this subject.
Especially this report from Journal of Strength and Conditioning Research, 2006.
MANDY T. WOOLSTENHULME,
Woolstenhulme, Griffiths, Woolstenhulme, Parcell hypothesize that ballistic stretching improves vertical jump height:
Subjects participated in 6 weeks (2 times per week) of warm-up and
basketball activity. The warm-up groups participated in ballistic
stretching, static stretching, sprinting, or basketball shooting... We
measured vertical jump height immediately following 20 minutes of
basketball play at weeks 0, 2, 4, and 6. Only the ballistic stretching
group demonstrated an acute increase in vertical jump 20 minutes after
basketball play (p 0.05). Coaches should consider using ballistic
stretching as a warm-up for basketball play, as it is beneﬁcial to
vertical jump performance
The article continues and indicates that vertical jump increased by about 3cm:
All of the subjects who engaged in a ballistic stretching warm-up and
then played basketball increased their vertical jump heights by about