A BO105 ON LNDG HAD #1 GENERATOR FAIL LIGHT ILLUMINATED. MADE DECISION TO FLY TO MAINT STATION FOR REPAIR USING MEL PROCS. FAILED TO ENTER MEL REFS IN LOGBOOK.

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ON LNDG AT ZZZ; THE #1 GENERATOR LIGHT ILLUMINATED. AFTER LNDG; I PULLED OUT THE EMER PROCS BOOK AND FOLLOWED THE PROC. NO OTHER INDICATIONS OF A MALFUNCTION WERE EVIDENT. I ALSO CHKED THE MEL AND CONFIRMED THE ACFT COULD BE FLOWN. I HESITATED TO SHUT DOWN THE ACFT SINCE THE STARTER AND GENERATOR ARE THE SAME UNIT; AND I WAS NOT SURE IF THE ACFT WOULD START AGAIN. MY CUSTOMER SAID THEY DID NOT WANT TO BE 'STUCK' OFFSHORE AND ASKED IF I COULD FLY TO THE BASE. THE EMER PROC CHKLIST AND THE MEL ALLOWS FLT WITH 1 GENERATOR INOP UNDER DAY VFR CONDITIONS. I DETERMINED THERE WAS NO RESTR FOR FLT. IN ACCORDANCE WITH EMER PROCS; I PLACED THE STARTER/GENERATOR SWITCH IN THE OFF POS AND MADE THE DECISION TO RETURN TO ZZZ1 WHERE THERE WERE FACILITIES AND PARTS FOR REPAIR. THE AMT FOUND A BROKEN WIRE ON THE #1 VOLTAGE SENSOR; AND QUICKLY MADE THE REPAIR. I THEN LAUNCHED TO FINISH THE DAY WITHOUT FURTHER INCIDENT. I DID NOT SHUT DOWN THE ACFT OR EVEN REDUCE THROTTLES TO IDLE. HOWEVER; I REALIZE NOW THAT I DID NOT COMPLETE THE MEL PAPERWORK AND MAKE AN ENTRY IN THE ACFT LOGBOOK. THE DISCREPANCY WAS RESOLVED QUICKLY AND I SIMPLY FORGOT. I HAD ALREADY LOST 1 1/2 HRS OF THE CUSTOMER'S TIME AND ALLOWED MY EAGERNESS TO COMPLETE THE MISSION TO INTERFERE WITH THE PAPERWORK. I REALIZE DOCUMENTATION IS IMPORTANT AND REGS MUST BE FOLLOWED. I WILL MAKE EVERY EFFORT IN THE FUTURE TO MAKE SURE THERE IS NO REPEAT OCCURRENCE.