Given that, according to the uploader, it's a live concert in Japan from 1963, the group could be either Takeshi Inomata and his West Liners or Toshiyuki Miyama & The All Star Orchestra, in both cases with Bob Corwin on piano.
This is probably ripped off from "Anita O'Day - Live In Tokyo '63":
On the possible tenor saxophone player, Ichiro Mimori was part of the Takeshi Inomata orchestra during the 60's.