Five different Barons scored.
Teemu Hartikainen gave the Barons a 1-0 lead late in the first period when his shot from a tough angle hit the post and trickled in behind Nilstorp.
Fedun, the rookie from Princeton who suffered a horrific shattered leg two years ago, scored a goal for the second straight game for a 2-0 lead less than two minutes into the second period. Stretch scored his fourth playoff goal midway through the second period for a 3-0 cushion.
“The thing about a 3-1 series lead is it's a battle of wills,” Green said. “We knew if we put some doubt into their minds it would be huge for us.”
Oklahoma City led 5-0 before the Stars spoiled Danis' shutout bid with a power-play goal with 2:57 remaining.
The Barons will have eight or nine days off before opening the Western Conference Finals.
“This is awesome,” Fedun said. “It's hard to explain. These three home games went by so fast. It's hard to believe we've already moved on to the next round. It's a great feeling.”
The Barons were the No. 1 seed last year. This year's team had to finish 13-3-3 the final six weeks just to earn a playoff berth on the next to last day of the regular season.
“We just beat a pretty good team,” Danis said. “To win three in a row against the No. 1 team in the conference, we'll have a week or so to enjoy it. But we've said all along we fell short last year. Our goal is to win the Calder Cup.”