QUARK FRAGMENTATION INTO P-3(J) QUARKONIUM

We calculate the functions of parton fragmentation into P-3(J) quarkon ium at order alpha(s)(2), where the parton can be a heavy or light qua rk. The obtained functions explicitly satisfy the Altarelli-Parisi equ ation and they are divergent, behaving as z(-1) near z = 0. However, i f one chooses the renormalization scale as twice the heavy quark mass, the fragmentation functions are regular over the whole range of z.