Summary
The Born cross sections are measured for the first time for the processes e(+)e(-) -> D-s* + D-sJ(-) + c.c. and e(+)e(-) -> D-s* + D-s1(2460)(-) + c:c: at the center-of-mass energy root p = 4.600 GeV, 4.612 GeV, 4.626 GeV, 4.640 GeV, 4.660 GeV, 4.68 GeV, and 4.700 GeV, and for e(+)e(-) -> D-s* + D(s1()2536)(-) +c.c. at root s = 4.660 GeV, 4.680 GeV, and 4.700 GeV, using data samples collected with the BESIII detector at the BEPCII collider. No structures are observed in cross-section distributions for any of the processes.