Can't see your whole schematic.
Hopefully there's nothing too special about those transistors. Only potential trouble spot i see is Vbe rating .
do those two transistors get power from 12 volts ? Probably.
A circuit like that is usually not too choosy about transistor parameters, it self-oscillates by positive feedback so it'll tolerate quite a bit of slop.
The transformer's time to saturate determines frequency.
The transistors are just switches. When one of them turns on, positive feedback via tapped transformer winding reinforces its base drive. Same feedback in other half of winding opposes the second transistor's base drive turning it hard off.
That condition persists until the transformer saturates which removes 'base boost' from the transistor that's conducting and removes 'base holdoff' from the other, so the transistors swap states.
i'd think a fresh pair of 2N2955's would likely do the job. They're TO-3 case like in
@Asymptotic 's photo.
http://www.unisonic.com.tw/datasheet/2N2955.pdf
If yours are TO-220 case you're in luck there are lots more power transistors to choose from.
Back in the days of Heathkit , high power PNP's were sort of scarce.
2N 2955 has decent gain and pretty robust voltage withstand.
I can't quite make out the resistor values in your image. If you need more gain you could look into power darlingtons and adjust the bias resistors..
Don't forget to put heat transfer grease under them. Dow 340 is made for that but Dow 4 from the hardware store will work.
my two cents, and overpriced at that...
old jim
EDIT found a higher current transistor , mje5025, but Vbe is 5 volts vs 7 for 2N2955..
https://www.onsemi.com/pub/Collateral/MJ15023-D.PDF