SCT Controller described a conflict event when an IFR departure conflicted with a VFR aircraft. The reporter listed weather; unusual runway configurations; and failed coordination efforts as causal factors.

Narrative

I took RADAR on a jet aircraft routed over Palmdale from Woodland. I'm supposed to get them climbing to 13;000 FT on a northerly heading. Woodland sector had VFR traffic at 8;300 FT or 8;500 FT so they stopped the jet at 8;000 FT and shipped them to me without any coordination. I'm really not sure if the BE36 was level at 8;500 FT or not. It had been very turbulent all day so I wouldn't be surprised if it was difficult for the lighter aircraft to climb and remain level. I called traffic for aircraft X as I turned him on course direct PMD. Aircraft X told me they got an RA; but I observed no change in altitude as a result. It should be noted that the runway configuration in use during the event was very out of the ordinary and certainly the most complex BUR has to offer. BUR [Runways] 8/15 and VNY [Runway] 34.Recommendation; the airport configuration on this day was very out of the ordinary; so I would say that everyone was a little bit rusty on the procedures. It would be great to have an accurate and up to date reference for the traffic flows and procedures. Currently; the displays we have to look up that kind of information are nearly impossible to read. I do believe the equipment is older then I am. I think coordination was the real problem here; the Woodland Controller should have told me what was going on.